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Finding the Fourth Proportional to 16,640.70, 24,928.65 and 9,231.90

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Solution

The fourth proportional to 16,640.70, 24,928.65 and 9,231.90 is: 13,829.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,640.70 : 24,928.65 = 9,231.90 : x
  2. Step 2: Convert to fraction form
    16,640.70/24,928.65 = 9,231.90/x
  3. Step 3: Cross multiply
    16,640.70x = 24,928.65 × 9,231.90
  4. Step 4: Simplify right side
    16,640.70x = 230,138,803.94
  5. Step 5: Solve for x
    x = 230,138,803.94/16,640.70
  6. Step 6: Final answer
    x = 13,829.88

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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.