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Finding the Fourth Proportional to 12,712.97, 17,543.90 and 7,047.71

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Solution

The fourth proportional to 12,712.97, 17,543.90 and 7,047.71 is: 9,725.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,712.97 : 17,543.90 = 7,047.71 : x
  2. Step 2: Convert to fraction form
    12,712.97/17,543.90 = 7,047.71/x
  3. Step 3: Cross multiply
    12,712.97x = 17,543.90 × 7,047.71
  4. Step 4: Simplify right side
    12,712.97x = 123,644,249.37
  5. Step 5: Solve for x
    x = 123,644,249.37/12,712.97
  6. Step 6: Final answer
    x = 9,725.83

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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.