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Finding the Fourth Proportional to 22,940.68, 34,414.38 and 9,793

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Solution

The fourth proportional to 22,940.68, 34,414.38 and 9,793 is: 14,690.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,940.68 : 34,414.38 = 9,793 : x
  2. Step 2: Convert to fraction form
    22,940.68/34,414.38 = 9,793/x
  3. Step 3: Cross multiply
    22,940.68x = 34,414.38 × 9,793
  4. Step 4: Simplify right side
    22,940.68x = 337,020,023.34
  5. Step 5: Solve for x
    x = 337,020,023.34/22,940.68
  6. Step 6: Final answer
    x = 14,690.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.