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Finding the Fourth Proportional to 12,329.60, 18,472.80 and 10,126.40

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Solution

The fourth proportional to 12,329.60, 18,472.80 and 10,126.40 is: 15,171.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,329.60 : 18,472.80 = 10,126.40 : x
  2. Step 2: Convert to fraction form
    12,329.60/18,472.80 = 10,126.40/x
  3. Step 3: Cross multiply
    12,329.60x = 18,472.80 × 10,126.40
  4. Step 4: Simplify right side
    12,329.60x = 187,062,961.92
  5. Step 5: Solve for x
    x = 187,062,961.92/12,329.60
  6. Step 6: Final answer
    x = 15,171.86

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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.