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Finding the Fourth Proportional to 25,722.85, 38,587.11 and 8,188.57

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Solution

The fourth proportional to 25,722.85, 38,587.11 and 8,188.57 is: 12,283.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,722.85 : 38,587.11 = 8,188.57 : x
  2. Step 2: Convert to fraction form
    25,722.85/38,587.11 = 8,188.57/x
  3. Step 3: Cross multiply
    25,722.85x = 38,587.11 × 8,188.57
  4. Step 4: Simplify right side
    25,722.85x = 315,973,251.33
  5. Step 5: Solve for x
    x = 315,973,251.33/25,722.85
  6. Step 6: Final answer
    x = 12,283.76

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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.