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Finding the Fourth Proportional to 20,132.34, 30,200.33 and 6,805

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Solution

The fourth proportional to 20,132.34, 30,200.33 and 6,805 is: 10,208.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,132.34 : 30,200.33 = 6,805 : x
  2. Step 2: Convert to fraction form
    20,132.34/30,200.33 = 6,805/x
  3. Step 3: Cross multiply
    20,132.34x = 30,200.33 × 6,805
  4. Step 4: Simplify right side
    20,132.34x = 205,513,245.65
  5. Step 5: Solve for x
    x = 205,513,245.65/20,132.34
  6. Step 6: Final answer
    x = 10,208.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.