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Finding the Fourth Proportional to 27,381.98, 41,077.19 and 11,587.10

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Solution

The fourth proportional to 27,381.98, 41,077.19 and 11,587.10 is: 17,382.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,381.98 : 41,077.19 = 11,587.10 : x
  2. Step 2: Convert to fraction form
    27,381.98/41,077.19 = 11,587.10/x
  3. Step 3: Cross multiply
    27,381.98x = 41,077.19 × 11,587.10
  4. Step 4: Simplify right side
    27,381.98x = 475,965,331.83
  5. Step 5: Solve for x
    x = 475,965,331.83/27,381.98
  6. Step 6: Final answer
    x = 17,382.43

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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.