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Finding the Fourth Proportional to 23,382.52, 32,265.78 and 14,432.90

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Solution

The fourth proportional to 23,382.52, 32,265.78 and 14,432.90 is: 19,916.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,382.52 : 32,265.78 = 14,432.90 : x
  2. Step 2: Convert to fraction form
    23,382.52/32,265.78 = 14,432.90/x
  3. Step 3: Cross multiply
    23,382.52x = 32,265.78 × 14,432.90
  4. Step 4: Simplify right side
    23,382.52x = 465,688,856.83
  5. Step 5: Solve for x
    x = 465,688,856.83/23,382.52
  6. Step 6: Final answer
    x = 19,916.11

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