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Finding the Fourth Proportional to 16,906.38, 23,331.88 and 9,454.38

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Solution

The fourth proportional to 16,906.38, 23,331.88 and 9,454.38 is: 13,047.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,906.38 : 23,331.88 = 9,454.38 : x
  2. Step 2: Convert to fraction form
    16,906.38/23,331.88 = 9,454.38/x
  3. Step 3: Cross multiply
    16,906.38x = 23,331.88 × 9,454.38
  4. Step 4: Simplify right side
    16,906.38x = 220,588,459.63
  5. Step 5: Solve for x
    x = 220,588,459.63/16,906.38
  6. Step 6: Final answer
    x = 13,047.65

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.