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Finding the Fourth Proportional to 24,183.84, 36,286.92 and 11,040.24

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Solution

The fourth proportional to 24,183.84, 36,286.92 and 11,040.24 is: 16,565.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,183.84 : 36,286.92 = 11,040.24 : x
  2. Step 2: Convert to fraction form
    24,183.84/36,286.92 = 11,040.24/x
  3. Step 3: Cross multiply
    24,183.84x = 36,286.92 × 11,040.24
  4. Step 4: Simplify right side
    24,183.84x = 400,616,305.66
  5. Step 5: Solve for x
    x = 400,616,305.66/24,183.84
  6. Step 6: Final answer
    x = 16,565.45

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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.