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Finding the Fourth Proportional to 16,234.25, 24,332.92 and 6,868.43

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Solution

The fourth proportional to 16,234.25, 24,332.92 and 6,868.43 is: 10,294.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,234.25 : 24,332.92 = 6,868.43 : x
  2. Step 2: Convert to fraction form
    16,234.25/24,332.92 = 6,868.43/x
  3. Step 3: Cross multiply
    16,234.25x = 24,332.92 × 6,868.43
  4. Step 4: Simplify right side
    16,234.25x = 167,128,957.72
  5. Step 5: Solve for x
    x = 167,128,957.72/16,234.25
  6. Step 6: Final answer
    x = 10,294.84

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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.