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Finding the Fourth Proportional to 27,409.79, 41,116.14 and 8,691.84

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Solution

The fourth proportional to 27,409.79, 41,116.14 and 8,691.84 is: 13,038.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,409.79 : 41,116.14 = 8,691.84 : x
  2. Step 2: Convert to fraction form
    27,409.79/41,116.14 = 8,691.84/x
  3. Step 3: Cross multiply
    27,409.79x = 41,116.14 × 8,691.84
  4. Step 4: Simplify right side
    27,409.79x = 357,374,910.30
  5. Step 5: Solve for x
    x = 357,374,910.30/27,409.79
  6. Step 6: Final answer
    x = 13,038.22

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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.