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Finding the Fourth Proportional to 12,714.13, 17,545.19 and 7,048.77

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Solution

The fourth proportional to 12,714.13, 17,545.19 and 7,048.77 is: 9,727.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,714.13 : 17,545.19 = 7,048.77 : x
  2. Step 2: Convert to fraction form
    12,714.13/17,545.19 = 7,048.77/x
  3. Step 3: Cross multiply
    12,714.13x = 17,545.19 × 7,048.77
  4. Step 4: Simplify right side
    12,714.13x = 123,672,008.92
  5. Step 5: Solve for x
    x = 123,672,008.92/12,714.13
  6. Step 6: Final answer
    x = 9,727.13

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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.