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Finding the Fourth Proportional to 15,200.09, 20,974.53 and 8,825.44

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Solution

The fourth proportional to 15,200.09, 20,974.53 and 8,825.44 is: 12,178.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,200.09 : 20,974.53 = 8,825.44 : x
  2. Step 2: Convert to fraction form
    15,200.09/20,974.53 = 8,825.44/x
  3. Step 3: Cross multiply
    15,200.09x = 20,974.53 × 8,825.44
  4. Step 4: Simplify right side
    15,200.09x = 185,109,456.04
  5. Step 5: Solve for x
    x = 185,109,456.04/15,200.09
  6. Step 6: Final answer
    x = 12,178.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.