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Finding the Fourth Proportional to 12,257.57, 18,387.05 and 3,493.17

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Solution

The fourth proportional to 12,257.57, 18,387.05 and 3,493.17 is: 5,239.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,257.57 : 18,387.05 = 3,493.17 : x
  2. Step 2: Convert to fraction form
    12,257.57/18,387.05 = 3,493.17/x
  3. Step 3: Cross multiply
    12,257.57x = 18,387.05 × 3,493.17
  4. Step 4: Simplify right side
    12,257.57x = 64,229,100.18
  5. Step 5: Solve for x
    x = 64,229,100.18/12,257.57
  6. Step 6: Final answer
    x = 5,239.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.