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Finding the Fourth Proportional to 20,546.60, 30,820.92 and 8,065.52

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Solution

The fourth proportional to 20,546.60, 30,820.92 and 8,065.52 is: 12,098.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,546.60 : 30,820.92 = 8,065.52 : x
  2. Step 2: Convert to fraction form
    20,546.60/30,820.92 = 8,065.52/x
  3. Step 3: Cross multiply
    20,546.60x = 30,820.92 × 8,065.52
  4. Step 4: Simplify right side
    20,546.60x = 248,586,746.68
  5. Step 5: Solve for x
    x = 248,586,746.68/20,546.60
  6. Step 6: Final answer
    x = 12,098.68

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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.