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Finding the Fourth Proportional to 22,711.46, 34,069.46 and 8,683.29

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Solution

The fourth proportional to 22,711.46, 34,069.46 and 8,683.29 is: 13,025.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,711.46 : 34,069.46 = 8,683.29 : x
  2. Step 2: Convert to fraction form
    22,711.46/34,069.46 = 8,683.29/x
  3. Step 3: Cross multiply
    22,711.46x = 34,069.46 × 8,683.29
  4. Step 4: Simplify right side
    22,711.46x = 295,835,139.20
  5. Step 5: Solve for x
    x = 295,835,139.20/22,711.46
  6. Step 6: Final answer
    x = 13,025.81

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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.