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Finding the Fourth Proportional to 12,414.57, 17,131.91 and 6,749.47

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Solution

The fourth proportional to 12,414.57, 17,131.91 and 6,749.47 is: 9,314.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,414.57 : 17,131.91 = 6,749.47 : x
  2. Step 2: Convert to fraction form
    12,414.57/17,131.91 = 6,749.47/x
  3. Step 3: Cross multiply
    12,414.57x = 17,131.91 × 6,749.47
  4. Step 4: Simplify right side
    12,414.57x = 115,631,193.18
  5. Step 5: Solve for x
    x = 115,631,193.18/12,414.57
  6. Step 6: Final answer
    x = 9,314.15

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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.