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Finding the Fourth Proportional to 16,494.80, 24,747.63 and 10,969.88

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Solution

The fourth proportional to 16,494.80, 24,747.63 and 10,969.88 is: 16,458.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,494.80 : 24,747.63 = 10,969.88 : x
  2. Step 2: Convert to fraction form
    16,494.80/24,747.63 = 10,969.88/x
  3. Step 3: Cross multiply
    16,494.80x = 24,747.63 × 10,969.88
  4. Step 4: Simplify right side
    16,494.80x = 271,478,531.38
  5. Step 5: Solve for x
    x = 271,478,531.38/16,494.80
  6. Step 6: Final answer
    x = 16,458.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.