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Finding the Fourth Proportional to 14,651.92, 20,228.88 and 10,174.24

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Solution

The fourth proportional to 14,651.92, 20,228.88 and 10,174.24 is: 14,046.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,651.92 : 20,228.88 = 10,174.24 : x
  2. Step 2: Convert to fraction form
    14,651.92/20,228.88 = 10,174.24/x
  3. Step 3: Cross multiply
    14,651.92x = 20,228.88 × 10,174.24
  4. Step 4: Simplify right side
    14,651.92x = 205,813,480.05
  5. Step 5: Solve for x
    x = 205,813,480.05/14,651.92
  6. Step 6: Final answer
    x = 14,046.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.