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Finding the Fourth Proportional to 12,717.68, 17,549.88 and 7,412.72

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Solution

The fourth proportional to 12,717.68, 17,549.88 and 7,412.72 is: 10,229.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,717.68 : 17,549.88 = 7,412.72 : x
  2. Step 2: Convert to fraction form
    12,717.68/17,549.88 = 7,412.72/x
  3. Step 3: Cross multiply
    12,717.68x = 17,549.88 × 7,412.72
  4. Step 4: Simplify right side
    12,717.68x = 130,092,346.47
  5. Step 5: Solve for x
    x = 130,092,346.47/12,717.68
  6. Step 6: Final answer
    x = 10,229.25

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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.