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Finding the Fourth Proportional to 27,648.41, 41,471.25 and 10,116.88

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Solution

The fourth proportional to 27,648.41, 41,471.25 and 10,116.88 is: 15,174.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,648.41 : 41,471.25 = 10,116.88 : x
  2. Step 2: Convert to fraction form
    27,648.41/41,471.25 = 10,116.88/x
  3. Step 3: Cross multiply
    27,648.41x = 41,471.25 × 10,116.88
  4. Step 4: Simplify right side
    27,648.41x = 419,559,659.70
  5. Step 5: Solve for x
    x = 419,559,659.70/27,648.41
  6. Step 6: Final answer
    x = 15,174.82

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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.