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Finding the Fourth Proportional to 27,841.79, 41,753.76 and 9,116.75

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Solution

The fourth proportional to 27,841.79, 41,753.76 and 9,116.75 is: 13,672.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,841.79 : 41,753.76 = 9,116.75 : x
  2. Step 2: Convert to fraction form
    27,841.79/41,753.76 = 9,116.75/x
  3. Step 3: Cross multiply
    27,841.79x = 41,753.76 × 9,116.75
  4. Step 4: Simplify right side
    27,841.79x = 380,658,382.71
  5. Step 5: Solve for x
    x = 380,658,382.71/27,841.79
  6. Step 6: Final answer
    x = 13,672.20

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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.