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Finding the Fourth Proportional to 26,743.84, 40,121.52 and 8,023.84

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Solution

The fourth proportional to 26,743.84, 40,121.52 and 8,023.84 is: 12,037.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,743.84 : 40,121.52 = 8,023.84 : x
  2. Step 2: Convert to fraction form
    26,743.84/40,121.52 = 8,023.84/x
  3. Step 3: Cross multiply
    26,743.84x = 40,121.52 × 8,023.84
  4. Step 4: Simplify right side
    26,743.84x = 321,928,657.04
  5. Step 5: Solve for x
    x = 321,928,657.04/26,743.84
  6. Step 6: Final answer
    x = 12,037.49

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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.