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Finding the Fourth Proportional to 24,493.63, 33,769.92 and 15,864.58

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Solution

The fourth proportional to 24,493.63, 33,769.92 and 15,864.58 is: 21,872.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,493.63 : 33,769.92 = 15,864.58 : x
  2. Step 2: Convert to fraction form
    24,493.63/33,769.92 = 15,864.58/x
  3. Step 3: Cross multiply
    24,493.63x = 33,769.92 × 15,864.58
  4. Step 4: Simplify right side
    24,493.63x = 535,745,660.26
  5. Step 5: Solve for x
    x = 535,745,660.26/24,493.63
  6. Step 6: Final answer
    x = 21,872.85

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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.