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Finding the Fourth Proportional to 25,823.72, 38,735.33 and 8,293.55

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Solution

The fourth proportional to 25,823.72, 38,735.33 and 8,293.55 is: 12,440.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,823.72 : 38,735.33 = 8,293.55 : x
  2. Step 2: Convert to fraction form
    25,823.72/38,735.33 = 8,293.55/x
  3. Step 3: Cross multiply
    25,823.72x = 38,735.33 × 8,293.55
  4. Step 4: Simplify right side
    25,823.72x = 321,253,160.98
  5. Step 5: Solve for x
    x = 321,253,160.98/25,823.72
  6. Step 6: Final answer
    x = 12,440.24

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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.