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Finding the Fourth Proportional to 27,082.81, 40,624.22 and 11,490.31

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Solution

The fourth proportional to 27,082.81, 40,624.22 and 11,490.31 is: 17,235.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,082.81 : 40,624.22 = 11,490.31 : x
  2. Step 2: Convert to fraction form
    27,082.81/40,624.22 = 11,490.31/x
  3. Step 3: Cross multiply
    27,082.81x = 40,624.22 × 11,490.31
  4. Step 4: Simplify right side
    27,082.81x = 466,784,881.31
  5. Step 5: Solve for x
    x = 466,784,881.31/27,082.81
  6. Step 6: Final answer
    x = 17,235.47

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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.