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Finding the Fourth Proportional to 20,680.32, 31,013.76 and 8,990.08

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Solution

The fourth proportional to 20,680.32, 31,013.76 and 8,990.08 is: 13,482.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,680.32 : 31,013.76 = 8,990.08 : x
  2. Step 2: Convert to fraction form
    20,680.32/31,013.76 = 8,990.08/x
  3. Step 3: Cross multiply
    20,680.32x = 31,013.76 × 8,990.08
  4. Step 4: Simplify right side
    20,680.32x = 278,816,183.50
  5. Step 5: Solve for x
    x = 278,816,183.50/20,680.32
  6. Step 6: Final answer
    x = 13,482.20

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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.