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Finding the Fourth Proportional to 22,486.71, 33,729.62 and 7,494.92

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Solution

The fourth proportional to 22,486.71, 33,729.62 and 7,494.92 is: 11,242.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,486.71 : 33,729.62 = 7,494.92 : x
  2. Step 2: Convert to fraction form
    22,486.71/33,729.62 = 7,494.92/x
  3. Step 3: Cross multiply
    22,486.71x = 33,729.62 × 7,494.92
  4. Step 4: Simplify right side
    22,486.71x = 252,800,889.91
  5. Step 5: Solve for x
    x = 252,800,889.91/22,486.71
  6. Step 6: Final answer
    x = 11,242.23

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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.