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Finding the Fourth Proportional to 12,424.25, 17,151.18 and 7,711.31

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Solution

The fourth proportional to 12,424.25, 17,151.18 and 7,711.31 is: 10,645.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,424.25 : 17,151.18 = 7,711.31 : x
  2. Step 2: Convert to fraction form
    12,424.25/17,151.18 = 7,711.31/x
  3. Step 3: Cross multiply
    12,424.25x = 17,151.18 × 7,711.31
  4. Step 4: Simplify right side
    12,424.25x = 132,258,065.85
  5. Step 5: Solve for x
    x = 132,258,065.85/12,424.25
  6. Step 6: Final answer
    x = 10,645.15

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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.