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Finding the Fourth Proportional to 27,004.38, 40,510.89 and 11,422.14

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Solution

The fourth proportional to 27,004.38, 40,510.89 and 11,422.14 is: 17,135.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,004.38 : 40,510.89 = 11,422.14 : x
  2. Step 2: Convert to fraction form
    27,004.38/40,510.89 = 11,422.14/x
  3. Step 3: Cross multiply
    27,004.38x = 40,510.89 × 11,422.14
  4. Step 4: Simplify right side
    27,004.38x = 462,721,057.10
  5. Step 5: Solve for x
    x = 462,721,057.10/27,004.38
  6. Step 6: Final answer
    x = 17,135.04

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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.