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Finding the Fourth Proportional to 24,399.71, 33,668.89 and 13,789.31

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Solution

The fourth proportional to 24,399.71, 33,668.89 and 13,789.31 is: 19,027.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,399.71 : 33,668.89 = 13,789.31 : x
  2. Step 2: Convert to fraction form
    24,399.71/33,668.89 = 13,789.31/x
  3. Step 3: Cross multiply
    24,399.71x = 33,668.89 × 13,789.31
  4. Step 4: Simplify right side
    24,399.71x = 464,270,761.57
  5. Step 5: Solve for x
    x = 464,270,761.57/24,399.71
  6. Step 6: Final answer
    x = 19,027.72

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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.