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Finding the Fourth Proportional to 24,377.69, 36,538.89 and 11,202.84

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Solution

The fourth proportional to 24,377.69, 36,538.89 and 11,202.84 is: 16,791.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,377.69 : 36,538.89 = 11,202.84 : x
  2. Step 2: Convert to fraction form
    24,377.69/36,538.89 = 11,202.84/x
  3. Step 3: Cross multiply
    24,377.69x = 36,538.89 × 11,202.84
  4. Step 4: Simplify right side
    24,377.69x = 409,339,155.75
  5. Step 5: Solve for x
    x = 409,339,155.75/24,377.69
  6. Step 6: Final answer
    x = 16,791.55

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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.