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Finding the Fourth Proportional to 22,761.78, 34,146.79 and 6,966.53

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Solution

The fourth proportional to 22,761.78, 34,146.79 and 6,966.53 is: 10,451.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,761.78 : 34,146.79 = 6,966.53 : x
  2. Step 2: Convert to fraction form
    22,761.78/34,146.79 = 6,966.53/x
  3. Step 3: Cross multiply
    22,761.78x = 34,146.79 × 6,966.53
  4. Step 4: Simplify right side
    22,761.78x = 237,884,704.89
  5. Step 5: Solve for x
    x = 237,884,704.89/22,761.78
  6. Step 6: Final answer
    x = 10,451.06

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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.