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Finding the Fourth Proportional to 12,132.57, 18,198.80 and 4,737.78

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Solution

The fourth proportional to 12,132.57, 18,198.80 and 4,737.78 is: 7,106.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,132.57 : 18,198.80 = 4,737.78 : x
  2. Step 2: Convert to fraction form
    12,132.57/18,198.80 = 4,737.78/x
  3. Step 3: Cross multiply
    12,132.57x = 18,198.80 × 4,737.78
  4. Step 4: Simplify right side
    12,132.57x = 86,221,886.98
  5. Step 5: Solve for x
    x = 86,221,886.98/12,132.57
  6. Step 6: Final answer
    x = 7,106.65

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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.