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Finding the Fourth Proportional to 16,326.22, 24,474.98 and 6,472.42

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Solution

The fourth proportional to 16,326.22, 24,474.98 and 6,472.42 is: 9,702.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,326.22 : 24,474.98 = 6,472.42 : x
  2. Step 2: Convert to fraction form
    16,326.22/24,474.98 = 6,472.42/x
  3. Step 3: Cross multiply
    16,326.22x = 24,474.98 × 6,472.42
  4. Step 4: Simplify right side
    16,326.22x = 158,412,350.05
  5. Step 5: Solve for x
    x = 158,412,350.05/16,326.22
  6. Step 6: Final answer
    x = 9,702.94

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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.