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Finding the Fourth Proportional to 15,285.29, 22,929.97 and 6,049.13

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Solution

The fourth proportional to 15,285.29, 22,929.97 and 6,049.13 is: 9,074.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,285.29 : 22,929.97 = 6,049.13 : x
  2. Step 2: Convert to fraction form
    15,285.29/22,929.97 = 6,049.13/x
  3. Step 3: Cross multiply
    15,285.29x = 22,929.97 × 6,049.13
  4. Step 4: Simplify right side
    15,285.29x = 138,706,254.78
  5. Step 5: Solve for x
    x = 138,706,254.78/15,285.29
  6. Step 6: Final answer
    x = 9,074.50

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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.