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Finding the Fourth Proportional to 22,953.57, 34,433.82 and 8,158.97

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Solution

The fourth proportional to 22,953.57, 34,433.82 and 8,158.97 is: 12,239.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,953.57 : 34,433.82 = 8,158.97 : x
  2. Step 2: Convert to fraction form
    22,953.57/34,433.82 = 8,158.97/x
  3. Step 3: Cross multiply
    22,953.57x = 34,433.82 × 8,158.97
  4. Step 4: Simplify right side
    22,953.57x = 280,944,332.20
  5. Step 5: Solve for x
    x = 280,944,332.20/22,953.57
  6. Step 6: Final answer
    x = 12,239.68

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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.