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Finding the Fourth Proportional to 12,339.27, 18,508.91 and 7,142.31

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Solution

The fourth proportional to 12,339.27, 18,508.91 and 7,142.31 is: 10,713.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,339.27 : 18,508.91 = 7,142.31 : x
  2. Step 2: Convert to fraction form
    12,339.27/18,508.91 = 7,142.31/x
  3. Step 3: Cross multiply
    12,339.27x = 18,508.91 × 7,142.31
  4. Step 4: Simplify right side
    12,339.27x = 132,196,337.27
  5. Step 5: Solve for x
    x = 132,196,337.27/12,339.27
  6. Step 6: Final answer
    x = 10,713.47

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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.