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Finding the Fourth Proportional to 15,730.68, 21,717.32 and 10,432.68

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Solution

The fourth proportional to 15,730.68, 21,717.32 and 10,432.68 is: 14,403.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,730.68 : 21,717.32 = 10,432.68 : x
  2. Step 2: Convert to fraction form
    15,730.68/21,717.32 = 10,432.68/x
  3. Step 3: Cross multiply
    15,730.68x = 21,717.32 × 10,432.68
  4. Step 4: Simplify right side
    15,730.68x = 226,569,850.02
  5. Step 5: Solve for x
    x = 226,569,850.02/15,730.68
  6. Step 6: Final answer
    x = 14,403.06

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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.