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Finding the Fourth Proportional to 12,717.62, 17,550.13 and 7,412.98

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Solution

The fourth proportional to 12,717.62, 17,550.13 and 7,412.98 is: 10,229.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,717.62 : 17,550.13 = 7,412.98 : x
  2. Step 2: Convert to fraction form
    12,717.62/17,550.13 = 7,412.98/x
  3. Step 3: Cross multiply
    12,717.62x = 17,550.13 × 7,412.98
  4. Step 4: Simplify right side
    12,717.62x = 130,098,762.69
  5. Step 5: Solve for x
    x = 130,098,762.69/12,717.62
  6. Step 6: Final answer
    x = 10,229.80

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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.