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Finding the Fourth Proportional to 22,711.50, 34,071.70 and 7,920.90

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Solution

The fourth proportional to 22,711.50, 34,071.70 and 7,920.90 is: 11,882.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,711.50 : 34,071.70 = 7,920.90 : x
  2. Step 2: Convert to fraction form
    22,711.50/34,071.70 = 7,920.90/x
  3. Step 3: Cross multiply
    22,711.50x = 34,071.70 × 7,920.90
  4. Step 4: Simplify right side
    22,711.50x = 269,878,528.53
  5. Step 5: Solve for x
    x = 269,878,528.53/22,711.50
  6. Step 6: Final answer
    x = 11,882.90

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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.