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Finding the Fourth Proportional to 16,742.70, 24,894.14 and 16,305.30

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Solution

The fourth proportional to 16,742.70, 24,894.14 and 16,305.30 is: 24,243.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,742.70 : 24,894.14 = 16,305.30 : x
  2. Step 2: Convert to fraction form
    16,742.70/24,894.14 = 16,305.30/x
  3. Step 3: Cross multiply
    16,742.70x = 24,894.14 × 16,305.30
  4. Step 4: Simplify right side
    16,742.70x = 405,906,339.42
  5. Step 5: Solve for x
    x = 405,906,339.42/16,742.70
  6. Step 6: Final answer
    x = 24,243.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.