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Finding the Fourth Proportional to 21,966.76, 32,954.46 and 8,115.88

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Solution

The fourth proportional to 21,966.76, 32,954.46 and 8,115.88 is: 12,175.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,966.76 : 32,954.46 = 8,115.88 : x
  2. Step 2: Convert to fraction form
    21,966.76/32,954.46 = 8,115.88/x
  3. Step 3: Cross multiply
    21,966.76x = 32,954.46 × 8,115.88
  4. Step 4: Simplify right side
    21,966.76x = 267,454,442.82
  5. Step 5: Solve for x
    x = 267,454,442.82/21,966.76
  6. Step 6: Final answer
    x = 12,175.42

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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.