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Finding the Fourth Proportional to 27,801.20, 41,705.85 and 9,082.10

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Solution

The fourth proportional to 27,801.20, 41,705.85 and 9,082.10 is: 13,624.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,801.20 : 41,705.85 = 9,082.10 : x
  2. Step 2: Convert to fraction form
    27,801.20/41,705.85 = 9,082.10/x
  3. Step 3: Cross multiply
    27,801.20x = 41,705.85 × 9,082.10
  4. Step 4: Simplify right side
    27,801.20x = 378,776,700.29
  5. Step 5: Solve for x
    x = 378,776,700.29/27,801.20
  6. Step 6: Final answer
    x = 13,624.47

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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.