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Finding the Fourth Proportional to 27,409.78, 41,116.29 and 8,689.47

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Solution

The fourth proportional to 27,409.78, 41,116.29 and 8,689.47 is: 13,034.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,409.78 : 41,116.29 = 8,689.47 : x
  2. Step 2: Convert to fraction form
    27,409.78/41,116.29 = 8,689.47/x
  3. Step 3: Cross multiply
    27,409.78x = 41,116.29 × 8,689.47
  4. Step 4: Simplify right side
    27,409.78x = 357,278,768.47
  5. Step 5: Solve for x
    x = 357,278,768.47/27,409.78
  6. Step 6: Final answer
    x = 13,034.72

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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.