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Finding the Fourth Proportional to 12,137.96, 18,209.46 and 5,902.40

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Solution

The fourth proportional to 12,137.96, 18,209.46 and 5,902.40 is: 8,854.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,137.96 : 18,209.46 = 5,902.40 : x
  2. Step 2: Convert to fraction form
    12,137.96/18,209.46 = 5,902.40/x
  3. Step 3: Cross multiply
    12,137.96x = 18,209.46 × 5,902.40
  4. Step 4: Simplify right side
    12,137.96x = 107,479,516.70
  5. Step 5: Solve for x
    x = 107,479,516.70/12,137.96
  6. Step 6: Final answer
    x = 8,854.83

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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.