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Finding the Fourth Proportional to 27,896.59, 38,496.24 and 15,149.50

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Solution

The fourth proportional to 27,896.59, 38,496.24 and 15,149.50 is: 20,905.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,896.59 : 38,496.24 = 15,149.50 : x
  2. Step 2: Convert to fraction form
    27,896.59/38,496.24 = 15,149.50/x
  3. Step 3: Cross multiply
    27,896.59x = 38,496.24 × 15,149.50
  4. Step 4: Simplify right side
    27,896.59x = 583,198,899.97
  5. Step 5: Solve for x
    x = 583,198,899.97/27,896.59
  6. Step 6: Final answer
    x = 20,905.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.