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Finding the Fourth Proportional to 20,605.70, 28,414.50 and 17,631.38

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Solution

The fourth proportional to 20,605.70, 28,414.50 and 17,631.38 is: 24,313.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,605.70 : 28,414.50 = 17,631.38 : x
  2. Step 2: Convert to fraction form
    20,605.70/28,414.50 = 17,631.38/x
  3. Step 3: Cross multiply
    20,605.70x = 28,414.50 × 17,631.38
  4. Step 4: Simplify right side
    20,605.70x = 500,986,847.01
  5. Step 5: Solve for x
    x = 500,986,847.01/20,605.70
  6. Step 6: Final answer
    x = 24,313.02

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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.