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Finding the Fourth Proportional to 27,591.60, 41,396.04 and 17,742

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Solution

The fourth proportional to 27,591.60, 41,396.04 and 17,742 is: 26,618.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,591.60 : 41,396.04 = 17,742 : x
  2. Step 2: Convert to fraction form
    27,591.60/41,396.04 = 17,742/x
  3. Step 3: Cross multiply
    27,591.60x = 41,396.04 × 17,742
  4. Step 4: Simplify right side
    27,591.60x = 734,448,541.68
  5. Step 5: Solve for x
    x = 734,448,541.68/27,591.60
  6. Step 6: Final answer
    x = 26,618.56

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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.