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Finding the Fourth Proportional to 22,520.62, 31,082.74 and 14,850.40

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Solution

The fourth proportional to 22,520.62, 31,082.74 and 14,850.40 is: 20,496.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,520.62 : 31,082.74 = 14,850.40 : x
  2. Step 2: Convert to fraction form
    22,520.62/31,082.74 = 14,850.40/x
  3. Step 3: Cross multiply
    22,520.62x = 31,082.74 × 14,850.40
  4. Step 4: Simplify right side
    22,520.62x = 461,591,122.10
  5. Step 5: Solve for x
    x = 461,591,122.10/22,520.62
  6. Step 6: Final answer
    x = 20,496.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.