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Finding the Fourth Proportional to 24,399.50, 33,670.26 and 13,789.53

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Solution

The fourth proportional to 24,399.50, 33,670.26 and 13,789.53 is: 19,028.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,399.50 : 33,670.26 = 13,789.53 : x
  2. Step 2: Convert to fraction form
    24,399.50/33,670.26 = 13,789.53/x
  3. Step 3: Cross multiply
    24,399.50x = 33,670.26 × 13,789.53
  4. Step 4: Simplify right side
    24,399.50x = 464,297,060.38
  5. Step 5: Solve for x
    x = 464,297,060.38/24,399.50
  6. Step 6: Final answer
    x = 19,028.96

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Why These Related Problems?

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