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Finding the Fourth Proportional to 24,082.78, 36,118.69 and 11,596.43

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Solution

The fourth proportional to 24,082.78, 36,118.69 and 11,596.43 is: 17,392.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,082.78 : 36,118.69 = 11,596.43 : x
  2. Step 2: Convert to fraction form
    24,082.78/36,118.69 = 11,596.43/x
  3. Step 3: Cross multiply
    24,082.78x = 36,118.69 × 11,596.43
  4. Step 4: Simplify right side
    24,082.78x = 418,847,860.28
  5. Step 5: Solve for x
    x = 418,847,860.28/24,082.78
  6. Step 6: Final answer
    x = 17,392.01

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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.