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Finding the Fourth Proportional to 12,440.75, 17,167.10 and 7,404.16

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Solution

The fourth proportional to 12,440.75, 17,167.10 and 7,404.16 is: 10,217.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,440.75 : 17,167.10 = 7,404.16 : x
  2. Step 2: Convert to fraction form
    12,440.75/17,167.10 = 7,404.16/x
  3. Step 3: Cross multiply
    12,440.75x = 17,167.10 × 7,404.16
  4. Step 4: Simplify right side
    12,440.75x = 127,107,930.73
  5. Step 5: Solve for x
    x = 127,107,930.73/12,440.75
  6. Step 6: Final answer
    x = 10,217.06

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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.