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Finding the Fourth Proportional to 20,794.42, 31,199.38 and 12,480.40

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Solution

The fourth proportional to 20,794.42, 31,199.38 and 12,480.40 is: 18,725.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,794.42 : 31,199.38 = 12,480.40 : x
  2. Step 2: Convert to fraction form
    20,794.42/31,199.38 = 12,480.40/x
  3. Step 3: Cross multiply
    20,794.42x = 31,199.38 × 12,480.40
  4. Step 4: Simplify right side
    20,794.42x = 389,380,742.15
  5. Step 5: Solve for x
    x = 389,380,742.15/20,794.42
  6. Step 6: Final answer
    x = 18,725.25

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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.