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Finding the Fourth Proportional to 22,902.85, 31,610.15 and 14,945.01

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Solution

The fourth proportional to 22,902.85, 31,610.15 and 14,945.01 is: 20,626.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,902.85 : 31,610.15 = 14,945.01 : x
  2. Step 2: Convert to fraction form
    22,902.85/31,610.15 = 14,945.01/x
  3. Step 3: Cross multiply
    22,902.85x = 31,610.15 × 14,945.01
  4. Step 4: Simplify right side
    22,902.85x = 472,414,007.85
  5. Step 5: Solve for x
    x = 472,414,007.85/22,902.85
  6. Step 6: Final answer
    x = 20,626.87

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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.