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Finding the Fourth Proportional to 20,082.19, 30,110.19 and 10,207.75

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Solution

The fourth proportional to 20,082.19, 30,110.19 and 10,207.75 is: 15,304.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,082.19 : 30,110.19 = 10,207.75 : x
  2. Step 2: Convert to fraction form
    20,082.19/30,110.19 = 10,207.75/x
  3. Step 3: Cross multiply
    20,082.19x = 30,110.19 × 10,207.75
  4. Step 4: Simplify right side
    20,082.19x = 307,357,291.97
  5. Step 5: Solve for x
    x = 307,357,291.97/20,082.19
  6. Step 6: Final answer
    x = 15,304.97

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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.