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Finding the Fourth Proportional to 16,714.65, 23,062.47 and 9,542.27

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Solution

The fourth proportional to 16,714.65, 23,062.47 and 9,542.27 is: 13,166.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,714.65 : 23,062.47 = 9,542.27 : x
  2. Step 2: Convert to fraction form
    16,714.65/23,062.47 = 9,542.27/x
  3. Step 3: Cross multiply
    16,714.65x = 23,062.47 × 9,542.27
  4. Step 4: Simplify right side
    16,714.65x = 220,068,337.48
  5. Step 5: Solve for x
    x = 220,068,337.48/16,714.65
  6. Step 6: Final answer
    x = 13,166.19

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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.