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Finding the Fourth Proportional to 12,714.64, 17,545.88 and 7,049.27

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Solution

The fourth proportional to 12,714.64, 17,545.88 and 7,049.27 is: 9,727.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,714.64 : 17,545.88 = 7,049.27 : x
  2. Step 2: Convert to fraction form
    12,714.64/17,545.88 = 7,049.27/x
  3. Step 3: Cross multiply
    12,714.64x = 17,545.88 × 7,049.27
  4. Step 4: Simplify right side
    12,714.64x = 123,685,707.00
  5. Step 5: Solve for x
    x = 123,685,707.00/12,714.64
  6. Step 6: Final answer
    x = 9,727.82

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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.