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Finding the Fourth Proportional to 24,082.86, 33,233.01 and 13,327.14

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Solution

The fourth proportional to 24,082.86, 33,233.01 and 13,327.14 is: 18,390.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,082.86 : 33,233.01 = 13,327.14 : x
  2. Step 2: Convert to fraction form
    24,082.86/33,233.01 = 13,327.14/x
  3. Step 3: Cross multiply
    24,082.86x = 33,233.01 × 13,327.14
  4. Step 4: Simplify right side
    24,082.86x = 442,900,976.89
  5. Step 5: Solve for x
    x = 442,900,976.89/24,082.86
  6. Step 6: Final answer
    x = 18,390.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.