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Finding the Fourth Proportional to 13,952.20, 20,928.30 and 8,123.80

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Solution

The fourth proportional to 13,952.20, 20,928.30 and 8,123.80 is: 12,185.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,952.20 : 20,928.30 = 8,123.80 : x
  2. Step 2: Convert to fraction form
    13,952.20/20,928.30 = 8,123.80/x
  3. Step 3: Cross multiply
    13,952.20x = 20,928.30 × 8,123.80
  4. Step 4: Simplify right side
    13,952.20x = 170,017,323.54
  5. Step 5: Solve for x
    x = 170,017,323.54/13,952.20
  6. Step 6: Final answer
    x = 12,185.70

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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.