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Finding the Fourth Proportional to 24,126.67, 36,178.17 and 10,082.53

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Solution

The fourth proportional to 24,126.67, 36,178.17 and 10,082.53 is: 15,118.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,126.67 : 36,178.17 = 10,082.53 : x
  2. Step 2: Convert to fraction form
    24,126.67/36,178.17 = 10,082.53/x
  3. Step 3: Cross multiply
    24,126.67x = 36,178.17 × 10,082.53
  4. Step 4: Simplify right side
    24,126.67x = 364,767,484.37
  5. Step 5: Solve for x
    x = 364,767,484.37/24,126.67
  6. Step 6: Final answer
    x = 15,118.85

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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.