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Finding the Fourth Proportional to 20,062.80, 30,093.12 and 9,642.96

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Solution

The fourth proportional to 20,062.80, 30,093.12 and 9,642.96 is: 14,463.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,062.80 : 30,093.12 = 9,642.96 : x
  2. Step 2: Convert to fraction form
    20,062.80/30,093.12 = 9,642.96/x
  3. Step 3: Cross multiply
    20,062.80x = 30,093.12 × 9,642.96
  4. Step 4: Simplify right side
    20,062.80x = 290,186,752.44
  5. Step 5: Solve for x
    x = 290,186,752.44/20,062.80
  6. Step 6: Final answer
    x = 14,463.92

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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.