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Finding the Fourth Proportional to 22,586.27, 33,882.52 and 7,594.55

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Solution

The fourth proportional to 22,586.27, 33,882.52 and 7,594.55 is: 11,392.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,586.27 : 33,882.52 = 7,594.55 : x
  2. Step 2: Convert to fraction form
    22,586.27/33,882.52 = 7,594.55/x
  3. Step 3: Cross multiply
    22,586.27x = 33,882.52 × 7,594.55
  4. Step 4: Simplify right side
    22,586.27x = 257,322,454.29
  5. Step 5: Solve for x
    x = 257,322,454.29/22,586.27
  6. Step 6: Final answer
    x = 11,392.87

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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.