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Finding the Fourth Proportional to 15,974.28, 22,043.52 and 8,901

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Solution

The fourth proportional to 15,974.28, 22,043.52 and 8,901 is: 12,282.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,974.28 : 22,043.52 = 8,901 : x
  2. Step 2: Convert to fraction form
    15,974.28/22,043.52 = 8,901/x
  3. Step 3: Cross multiply
    15,974.28x = 22,043.52 × 8,901
  4. Step 4: Simplify right side
    15,974.28x = 196,209,371.52
  5. Step 5: Solve for x
    x = 196,209,371.52/15,974.28
  6. Step 6: Final answer
    x = 12,282.83

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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.