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Finding the Fourth Proportional to 25,422.24, 38,139.84 and 11,568

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Solution

The fourth proportional to 25,422.24, 38,139.84 and 11,568 is: 17,354.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,422.24 : 38,139.84 = 11,568 : x
  2. Step 2: Convert to fraction form
    25,422.24/38,139.84 = 11,568/x
  3. Step 3: Cross multiply
    25,422.24x = 38,139.84 × 11,568
  4. Step 4: Simplify right side
    25,422.24x = 441,201,669.12
  5. Step 5: Solve for x
    x = 441,201,669.12/25,422.24
  6. Step 6: Final answer
    x = 17,354.95

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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.