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Finding the Fourth Proportional to 14,691.52, 20,260.32 and 9,660

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Solution

The fourth proportional to 14,691.52, 20,260.32 and 9,660 is: 13,321.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,691.52 : 20,260.32 = 9,660 : x
  2. Step 2: Convert to fraction form
    14,691.52/20,260.32 = 9,660/x
  3. Step 3: Cross multiply
    14,691.52x = 20,260.32 × 9,660
  4. Step 4: Simplify right side
    14,691.52x = 195,714,691.20
  5. Step 5: Solve for x
    x = 195,714,691.20/14,691.52
  6. Step 6: Final answer
    x = 13,321.61

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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.