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Finding the Fourth Proportional to 16,143.32, 24,218 and 5,612.92

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Solution

The fourth proportional to 16,143.32, 24,218 and 5,612.92 is: 8,420.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,143.32 : 24,218 = 5,612.92 : x
  2. Step 2: Convert to fraction form
    16,143.32/24,218 = 5,612.92/x
  3. Step 3: Cross multiply
    16,143.32x = 24,218 × 5,612.92
  4. Step 4: Simplify right side
    16,143.32x = 135,933,696.56
  5. Step 5: Solve for x
    x = 135,933,696.56/16,143.32
  6. Step 6: Final answer
    x = 8,420.43

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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.