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Finding the Fourth Proportional to 12,238.94, 18,339.71 and 9,103.78

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Solution

The fourth proportional to 12,238.94, 18,339.71 and 9,103.78 is: 13,641.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,238.94 : 18,339.71 = 9,103.78 : x
  2. Step 2: Convert to fraction form
    12,238.94/18,339.71 = 9,103.78/x
  3. Step 3: Cross multiply
    12,238.94x = 18,339.71 × 9,103.78
  4. Step 4: Simplify right side
    12,238.94x = 166,960,685.10
  5. Step 5: Solve for x
    x = 166,960,685.10/12,238.94
  6. Step 6: Final answer
    x = 13,641.76

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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.