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Finding the Fourth Proportional to 10,227.99, 15,342.17 and 3,207.84

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Solution

The fourth proportional to 10,227.99, 15,342.17 and 3,207.84 is: 4,811.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,227.99 : 15,342.17 = 3,207.84 : x
  2. Step 2: Convert to fraction form
    10,227.99/15,342.17 = 3,207.84/x
  3. Step 3: Cross multiply
    10,227.99x = 15,342.17 × 3,207.84
  4. Step 4: Simplify right side
    10,227.99x = 49,215,226.61
  5. Step 5: Solve for x
    x = 49,215,226.61/10,227.99
  6. Step 6: Final answer
    x = 4,811.82

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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.