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Finding the Fourth Proportional to 16,714.16, 23,066.18 and 9,545.25

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Solution

The fourth proportional to 16,714.16, 23,066.18 and 9,545.25 is: 13,172.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,714.16 : 23,066.18 = 9,545.25 : x
  2. Step 2: Convert to fraction form
    16,714.16/23,066.18 = 9,545.25/x
  3. Step 3: Cross multiply
    16,714.16x = 23,066.18 × 9,545.25
  4. Step 4: Simplify right side
    16,714.16x = 220,172,339.31
  5. Step 5: Solve for x
    x = 220,172,339.31/16,714.16
  6. Step 6: Final answer
    x = 13,172.80

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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.