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Finding the Fourth Proportional to 12,712.39, 17,542.78 and 7,047.15

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Solution

The fourth proportional to 12,712.39, 17,542.78 and 7,047.15 is: 9,724.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,712.39 : 17,542.78 = 7,047.15 : x
  2. Step 2: Convert to fraction form
    12,712.39/17,542.78 = 7,047.15/x
  3. Step 3: Cross multiply
    12,712.39x = 17,542.78 × 7,047.15
  4. Step 4: Simplify right side
    12,712.39x = 123,626,617.35
  5. Step 5: Solve for x
    x = 123,626,617.35/12,712.39
  6. Step 6: Final answer
    x = 9,724.89

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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.