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Finding the Fourth Proportional to 12,238.72, 18,339.39 and 9,103.56

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Solution

The fourth proportional to 12,238.72, 18,339.39 and 9,103.56 is: 13,641.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,238.72 : 18,339.39 = 9,103.56 : x
  2. Step 2: Convert to fraction form
    12,238.72/18,339.39 = 9,103.56/x
  3. Step 3: Cross multiply
    12,238.72x = 18,339.39 × 9,103.56
  4. Step 4: Simplify right side
    12,238.72x = 166,953,691.71
  5. Step 5: Solve for x
    x = 166,953,691.71/12,238.72
  6. Step 6: Final answer
    x = 13,641.44

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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.