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Finding the Fourth Proportional to 20,241.92, 30,299.60 and 12,854.72

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Solution

The fourth proportional to 20,241.92, 30,299.60 and 12,854.72 is: 19,241.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,241.92 : 30,299.60 = 12,854.72 : x
  2. Step 2: Convert to fraction form
    20,241.92/30,299.60 = 12,854.72/x
  3. Step 3: Cross multiply
    20,241.92x = 30,299.60 × 12,854.72
  4. Step 4: Simplify right side
    20,241.92x = 389,492,874.11
  5. Step 5: Solve for x
    x = 389,492,874.11/20,241.92
  6. Step 6: Final answer
    x = 19,241.89

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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.