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Finding the Fourth Proportional to 22,749.96, 34,124.70 and 5,882.88

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Solution

The fourth proportional to 22,749.96, 34,124.70 and 5,882.88 is: 8,824.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,749.96 : 34,124.70 = 5,882.88 : x
  2. Step 2: Convert to fraction form
    22,749.96/34,124.70 = 5,882.88/x
  3. Step 3: Cross multiply
    22,749.96x = 34,124.70 × 5,882.88
  4. Step 4: Simplify right side
    22,749.96x = 200,751,515.14
  5. Step 5: Solve for x
    x = 200,751,515.14/22,749.96
  6. Step 6: Final answer
    x = 8,824.26

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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.