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Finding the Fourth Proportional to 16,221.98, 24,349.98 and 10,305.74

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Solution

The fourth proportional to 16,221.98, 24,349.98 and 10,305.74 is: 15,469.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,221.98 : 24,349.98 = 10,305.74 : x
  2. Step 2: Convert to fraction form
    16,221.98/24,349.98 = 10,305.74/x
  3. Step 3: Cross multiply
    16,221.98x = 24,349.98 × 10,305.74
  4. Step 4: Simplify right side
    16,221.98x = 250,944,562.89
  5. Step 5: Solve for x
    x = 250,944,562.89/16,221.98
  6. Step 6: Final answer
    x = 15,469.42

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1.5x scale

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.