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Finding the Fourth Proportional to 20,201.06, 30,295.92 and 7,712.48

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Solution

The fourth proportional to 20,201.06, 30,295.92 and 7,712.48 is: 11,566.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,201.06 : 30,295.92 = 7,712.48 : x
  2. Step 2: Convert to fraction form
    20,201.06/30,295.92 = 7,712.48/x
  3. Step 3: Cross multiply
    20,201.06x = 30,295.92 × 7,712.48
  4. Step 4: Simplify right side
    20,201.06x = 233,656,677.08
  5. Step 5: Solve for x
    x = 233,656,677.08/20,201.06
  6. Step 6: Final answer
    x = 11,566.56

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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.