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Finding the Fourth Proportional to 20,482.16, 30,723.84 and 8,001.68

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Solution

The fourth proportional to 20,482.16, 30,723.84 and 8,001.68 is: 12,002.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,482.16 : 30,723.84 = 8,001.68 : x
  2. Step 2: Convert to fraction form
    20,482.16/30,723.84 = 8,001.68/x
  3. Step 3: Cross multiply
    20,482.16x = 30,723.84 × 8,001.68
  4. Step 4: Simplify right side
    20,482.16x = 245,842,182.43
  5. Step 5: Solve for x
    x = 245,842,182.43/20,482.16
  6. Step 6: Final answer
    x = 12,002.75

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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.