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Finding the Fourth Proportional to 22,134.57, 30,545.70 and 12,198.57

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Solution

The fourth proportional to 22,134.57, 30,545.70 and 12,198.57 is: 16,834.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,134.57 : 30,545.70 = 12,198.57 : x
  2. Step 2: Convert to fraction form
    22,134.57/30,545.70 = 12,198.57/x
  3. Step 3: Cross multiply
    22,134.57x = 30,545.70 × 12,198.57
  4. Step 4: Simplify right side
    22,134.57x = 372,613,645.93
  5. Step 5: Solve for x
    x = 372,613,645.93/22,134.57
  6. Step 6: Final answer
    x = 16,834.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.