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Finding the Fourth Proportional to 24,338.50, 33,590.78 and 14,912.53

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Solution

The fourth proportional to 24,338.50, 33,590.78 and 14,912.53 is: 20,581.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,338.50 : 33,590.78 = 14,912.53 : x
  2. Step 2: Convert to fraction form
    24,338.50/33,590.78 = 14,912.53/x
  3. Step 3: Cross multiply
    24,338.50x = 33,590.78 × 14,912.53
  4. Step 4: Simplify right side
    24,338.50x = 500,923,439.91
  5. Step 5: Solve for x
    x = 500,923,439.91/24,338.50
  6. Step 6: Final answer
    x = 20,581.52

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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.