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Finding the Fourth Proportional to 20,523.20, 30,727.20 and 19,947.20

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Solution

The fourth proportional to 20,523.20, 30,727.20 and 19,947.20 is: 29,864.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,523.20 : 30,727.20 = 19,947.20 : x
  2. Step 2: Convert to fraction form
    20,523.20/30,727.20 = 19,947.20/x
  3. Step 3: Cross multiply
    20,523.20x = 30,727.20 × 19,947.20
  4. Step 4: Simplify right side
    20,523.20x = 612,921,603.84
  5. Step 5: Solve for x
    x = 612,921,603.84/20,523.20
  6. Step 6: Final answer
    x = 29,864.82

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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.