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Finding the Fourth Proportional to 20,098.20, 30,159.06 and 8,410.44

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Solution

The fourth proportional to 20,098.20, 30,159.06 and 8,410.44 is: 12,620.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,098.20 : 30,159.06 = 8,410.44 : x
  2. Step 2: Convert to fraction form
    20,098.20/30,159.06 = 8,410.44/x
  3. Step 3: Cross multiply
    20,098.20x = 30,159.06 × 8,410.44
  4. Step 4: Simplify right side
    20,098.20x = 253,650,964.59
  5. Step 5: Solve for x
    x = 253,650,964.59/20,098.20
  6. Step 6: Final answer
    x = 12,620.58

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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.