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Finding the Fourth Proportional to 13,492.25, 20,240.71 and 4,132.04

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Solution

The fourth proportional to 13,492.25, 20,240.71 and 4,132.04 is: 6,198.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,492.25 : 20,240.71 = 4,132.04 : x
  2. Step 2: Convert to fraction form
    13,492.25/20,240.71 = 4,132.04/x
  3. Step 3: Cross multiply
    13,492.25x = 20,240.71 × 4,132.04
  4. Step 4: Simplify right side
    13,492.25x = 83,635,463.62
  5. Step 5: Solve for x
    x = 83,635,463.62/13,492.25
  6. Step 6: Final answer
    x = 6,198.78

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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.