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Finding the Fourth Proportional to 10,432.24, 15,569.99 and 9,020.41

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Solution

The fourth proportional to 10,432.24, 15,569.99 and 9,020.41 is: 13,462.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,432.24 : 15,569.99 = 9,020.41 : x
  2. Step 2: Convert to fraction form
    10,432.24/15,569.99 = 9,020.41/x
  3. Step 3: Cross multiply
    10,432.24x = 15,569.99 × 9,020.41
  4. Step 4: Simplify right side
    10,432.24x = 140,447,693.50
  5. Step 5: Solve for x
    x = 140,447,693.50/10,432.24
  6. Step 6: Final answer
    x = 13,462.85

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.