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Finding the Fourth Proportional to 17,227.28, 25,838.40 and 8,219.36

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Solution

The fourth proportional to 17,227.28, 25,838.40 and 8,219.36 is: 12,327.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,227.28 : 25,838.40 = 8,219.36 : x
  2. Step 2: Convert to fraction form
    17,227.28/25,838.40 = 8,219.36/x
  3. Step 3: Cross multiply
    17,227.28x = 25,838.40 × 8,219.36
  4. Step 4: Simplify right side
    17,227.28x = 212,375,111.42
  5. Step 5: Solve for x
    x = 212,375,111.42/17,227.28
  6. Step 6: Final answer
    x = 12,327.84

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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.