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Finding the Fourth Proportional to 24,082.27, 36,127.32 and 7,438.42

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Solution

The fourth proportional to 24,082.27, 36,127.32 and 7,438.42 is: 11,158.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,082.27 : 36,127.32 = 7,438.42 : x
  2. Step 2: Convert to fraction form
    24,082.27/36,127.32 = 7,438.42/x
  3. Step 3: Cross multiply
    24,082.27x = 36,127.32 × 7,438.42
  4. Step 4: Simplify right side
    24,082.27x = 268,730,179.63
  5. Step 5: Solve for x
    x = 268,730,179.63/24,082.27
  6. Step 6: Final answer
    x = 11,158.84

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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.