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Finding the Fourth Proportional to 24,474, 33,793.56 and 19,196.04

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Solution

The fourth proportional to 24,474, 33,793.56 and 19,196.04 is: 26,505.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,474 : 33,793.56 = 19,196.04 : x
  2. Step 2: Convert to fraction form
    24,474/33,793.56 = 19,196.04/x
  3. Step 3: Cross multiply
    24,474x = 33,793.56 × 19,196.04
  4. Step 4: Simplify right side
    24,474x = 648,702,529.50
  5. Step 5: Solve for x
    x = 648,702,529.50/24,474
  6. Step 6: Final answer
    x = 26,505.78

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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.