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Finding the Fourth Proportional to 20,152.96, 30,198.64 and 8,459.76

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Solution

The fourth proportional to 20,152.96, 30,198.64 and 8,459.76 is: 12,676.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,152.96 : 30,198.64 = 8,459.76 : x
  2. Step 2: Convert to fraction form
    20,152.96/30,198.64 = 8,459.76/x
  3. Step 3: Cross multiply
    20,152.96x = 30,198.64 × 8,459.76
  4. Step 4: Simplify right side
    20,152.96x = 255,473,246.73
  5. Step 5: Solve for x
    x = 255,473,246.73/20,152.96
  6. Step 6: Final answer
    x = 12,676.71

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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.