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Finding the Fourth Proportional to 22,773.88, 34,164.92 and 10,299.76

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Solution

The fourth proportional to 22,773.88, 34,164.92 and 10,299.76 is: 15,451.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,773.88 : 34,164.92 = 10,299.76 : x
  2. Step 2: Convert to fraction form
    22,773.88/34,164.92 = 10,299.76/x
  3. Step 3: Cross multiply
    22,773.88x = 34,164.92 × 10,299.76
  4. Step 4: Simplify right side
    22,773.88x = 351,890,476.42
  5. Step 5: Solve for x
    x = 351,890,476.42/22,773.88
  6. Step 6: Final answer
    x = 15,451.49

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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.