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Finding the Fourth Proportional to 25,611.32, 38,416.92 and 8,082.52

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Solution

The fourth proportional to 25,611.32, 38,416.92 and 8,082.52 is: 12,123.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,611.32 : 38,416.92 = 8,082.52 : x
  2. Step 2: Convert to fraction form
    25,611.32/38,416.92 = 8,082.52/x
  3. Step 3: Cross multiply
    25,611.32x = 38,416.92 × 8,082.52
  4. Step 4: Simplify right side
    25,611.32x = 310,505,397.89
  5. Step 5: Solve for x
    x = 310,505,397.89/25,611.32
  6. Step 6: Final answer
    x = 12,123.75

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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.