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Finding the Fourth Proportional to 15,868.24, 23,817.12 and 8,082.88

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Solution

The fourth proportional to 15,868.24, 23,817.12 and 8,082.88 is: 12,131.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,868.24 : 23,817.12 = 8,082.88 : x
  2. Step 2: Convert to fraction form
    15,868.24/23,817.12 = 8,082.88/x
  3. Step 3: Cross multiply
    15,868.24x = 23,817.12 × 8,082.88
  4. Step 4: Simplify right side
    15,868.24x = 192,510,922.91
  5. Step 5: Solve for x
    x = 192,510,922.91/15,868.24
  6. Step 6: Final answer
    x = 12,131.84

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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.