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Finding the Fourth Proportional to 16,474, 24,711 and 7,240.24

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Solution

The fourth proportional to 16,474, 24,711 and 7,240.24 is: 10,860.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,474 : 24,711 = 7,240.24 : x
  2. Step 2: Convert to fraction form
    16,474/24,711 = 7,240.24/x
  3. Step 3: Cross multiply
    16,474x = 24,711 × 7,240.24
  4. Step 4: Simplify right side
    16,474x = 178,913,570.64
  5. Step 5: Solve for x
    x = 178,913,570.64/16,474
  6. Step 6: Final answer
    x = 10,860.36

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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.