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Finding the Fourth Proportional to 24,414.78, 33,693.06 and 13,806

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Solution

The fourth proportional to 24,414.78, 33,693.06 and 13,806 is: 19,052.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,414.78 : 33,693.06 = 13,806 : x
  2. Step 2: Convert to fraction form
    24,414.78/33,693.06 = 13,806/x
  3. Step 3: Cross multiply
    24,414.78x = 33,693.06 × 13,806
  4. Step 4: Simplify right side
    24,414.78x = 465,166,386.36
  5. Step 5: Solve for x
    x = 465,166,386.36/24,414.78
  6. Step 6: Final answer
    x = 19,052.66

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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.