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Finding the Fourth Proportional to 27,788.20, 41,677.92 and 9,068.14

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Solution

The fourth proportional to 27,788.20, 41,677.92 and 9,068.14 is: 13,600.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,788.20 : 41,677.92 = 9,068.14 : x
  2. Step 2: Convert to fraction form
    27,788.20/41,677.92 = 9,068.14/x
  3. Step 3: Cross multiply
    27,788.20x = 41,677.92 × 9,068.14
  4. Step 4: Simplify right side
    27,788.20x = 377,941,213.47
  5. Step 5: Solve for x
    x = 377,941,213.47/27,788.20
  6. Step 6: Final answer
    x = 13,600.78

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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.