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Finding the Fourth Proportional to 15,717.32, 23,545.08 and 9,129.68

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Solution

The fourth proportional to 15,717.32, 23,545.08 and 9,129.68 is: 13,676.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,717.32 : 23,545.08 = 9,129.68 : x
  2. Step 2: Convert to fraction form
    15,717.32/23,545.08 = 9,129.68/x
  3. Step 3: Cross multiply
    15,717.32x = 23,545.08 × 9,129.68
  4. Step 4: Simplify right side
    15,717.32x = 214,959,045.97
  5. Step 5: Solve for x
    x = 214,959,045.97/15,717.32
  6. Step 6: Final answer
    x = 13,676.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.