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Finding the Fourth Proportional to 22,502.20, 33,746.85 and 6,706.57

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Solution

The fourth proportional to 22,502.20, 33,746.85 and 6,706.57 is: 10,057.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,502.20 : 33,746.85 = 6,706.57 : x
  2. Step 2: Convert to fraction form
    22,502.20/33,746.85 = 6,706.57/x
  3. Step 3: Cross multiply
    22,502.20x = 33,746.85 × 6,706.57
  4. Step 4: Simplify right side
    22,502.20x = 226,325,611.80
  5. Step 5: Solve for x
    x = 226,325,611.80/22,502.20
  6. Step 6: Final answer
    x = 10,057.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.