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Finding the Fourth Proportional to 20,082.80, 30,126 and 5,291.52

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Solution

The fourth proportional to 20,082.80, 30,126 and 5,291.52 is: 7,937.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,082.80 : 30,126 = 5,291.52 : x
  2. Step 2: Convert to fraction form
    20,082.80/30,126 = 5,291.52/x
  3. Step 3: Cross multiply
    20,082.80x = 30,126 × 5,291.52
  4. Step 4: Simplify right side
    20,082.80x = 159,412,331.52
  5. Step 5: Solve for x
    x = 159,412,331.52/20,082.80
  6. Step 6: Final answer
    x = 7,937.75

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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.