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Finding the Fourth Proportional to 15,274.97, 22,909.49 and 4,180.16

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Solution

The fourth proportional to 15,274.97, 22,909.49 and 4,180.16 is: 6,269.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,274.97 : 22,909.49 = 4,180.16 : x
  2. Step 2: Convert to fraction form
    15,274.97/22,909.49 = 4,180.16/x
  3. Step 3: Cross multiply
    15,274.97x = 22,909.49 × 4,180.16
  4. Step 4: Simplify right side
    15,274.97x = 95,765,198.27
  5. Step 5: Solve for x
    x = 95,765,198.27/15,274.97
  6. Step 6: Final answer
    x = 6,269.42

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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.