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Finding the Fourth Proportional to 23,005.54, 34,515.59 and 8,214.13

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Solution

The fourth proportional to 23,005.54, 34,515.59 and 8,214.13 is: 12,323.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,005.54 : 34,515.59 = 8,214.13 : x
  2. Step 2: Convert to fraction form
    23,005.54/34,515.59 = 8,214.13/x
  3. Step 3: Cross multiply
    23,005.54x = 34,515.59 × 8,214.13
  4. Step 4: Simplify right side
    23,005.54x = 283,515,543.29
  5. Step 5: Solve for x
    x = 283,515,543.29/23,005.54
  6. Step 6: Final answer
    x = 12,323.79

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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.