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Finding the Fourth Proportional to 12,714.87, 17,545.62 and 7,049.07

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Solution

The fourth proportional to 12,714.87, 17,545.62 and 7,049.07 is: 9,727.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,714.87 : 17,545.62 = 7,049.07 : x
  2. Step 2: Convert to fraction form
    12,714.87/17,545.62 = 7,049.07/x
  3. Step 3: Cross multiply
    12,714.87x = 17,545.62 × 7,049.07
  4. Step 4: Simplify right side
    12,714.87x = 123,680,303.57
  5. Step 5: Solve for x
    x = 123,680,303.57/12,714.87
  6. Step 6: Final answer
    x = 9,727.22

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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.