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Finding the Fourth Proportional to 27,081.86, 40,611.17 and 9,314.31

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Solution

The fourth proportional to 27,081.86, 40,611.17 and 9,314.31 is: 13,967.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,081.86 : 40,611.17 = 9,314.31 : x
  2. Step 2: Convert to fraction form
    27,081.86/40,611.17 = 9,314.31/x
  3. Step 3: Cross multiply
    27,081.86x = 40,611.17 × 9,314.31
  4. Step 4: Simplify right side
    27,081.86x = 378,264,980.27
  5. Step 5: Solve for x
    x = 378,264,980.27/27,081.86
  6. Step 6: Final answer
    x = 13,967.47

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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.