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Finding the Fourth Proportional to 20,200, 30,301.08 and 6,350.08

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Solution

The fourth proportional to 20,200, 30,301.08 and 6,350.08 is: 9,525.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,200 : 30,301.08 = 6,350.08 : x
  2. Step 2: Convert to fraction form
    20,200/30,301.08 = 6,350.08/x
  3. Step 3: Cross multiply
    20,200x = 30,301.08 × 6,350.08
  4. Step 4: Simplify right side
    20,200x = 192,414,282.09
  5. Step 5: Solve for x
    x = 192,414,282.09/20,200
  6. Step 6: Final answer
    x = 9,525.46

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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.