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Finding the Fourth Proportional to 27,257.31, 40,901.82 and 11,461.20

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Solution

The fourth proportional to 27,257.31, 40,901.82 and 11,461.20 is: 17,198.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,257.31 : 40,901.82 = 11,461.20 : x
  2. Step 2: Convert to fraction form
    27,257.31/40,901.82 = 11,461.20/x
  3. Step 3: Cross multiply
    27,257.31x = 40,901.82 × 11,461.20
  4. Step 4: Simplify right side
    27,257.31x = 468,783,763.53
  5. Step 5: Solve for x
    x = 468,783,763.53/27,257.31
  6. Step 6: Final answer
    x = 17,198.46

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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.