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Finding the Fourth Proportional to 23,208.96, 34,813.44 and 8,415.12

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Solution

The fourth proportional to 23,208.96, 34,813.44 and 8,415.12 is: 12,622.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,208.96 : 34,813.44 = 8,415.12 : x
  2. Step 2: Convert to fraction form
    23,208.96/34,813.44 = 8,415.12/x
  3. Step 3: Cross multiply
    23,208.96x = 34,813.44 × 8,415.12
  4. Step 4: Simplify right side
    23,208.96x = 292,959,275.21
  5. Step 5: Solve for x
    x = 292,959,275.21/23,208.96
  6. Step 6: Final answer
    x = 12,622.68

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.