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Finding the Fourth Proportional to 20,200.92, 30,301.44 and 9,805.38

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Solution

The fourth proportional to 20,200.92, 30,301.44 and 9,805.38 is: 14,708.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,200.92 : 30,301.44 = 9,805.38 : x
  2. Step 2: Convert to fraction form
    20,200.92/30,301.44 = 9,805.38/x
  3. Step 3: Cross multiply
    20,200.92x = 30,301.44 × 9,805.38
  4. Step 4: Simplify right side
    20,200.92x = 297,117,133.75
  5. Step 5: Solve for x
    x = 297,117,133.75/20,200.92
  6. Step 6: Final answer
    x = 14,708.10

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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.