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Finding the Fourth Proportional to 20,043.62, 30,050.25 and 12,144.50

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Solution

The fourth proportional to 20,043.62, 30,050.25 and 12,144.50 is: 18,207.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,043.62 : 30,050.25 = 12,144.50 : x
  2. Step 2: Convert to fraction form
    20,043.62/30,050.25 = 12,144.50/x
  3. Step 3: Cross multiply
    20,043.62x = 30,050.25 × 12,144.50
  4. Step 4: Simplify right side
    20,043.62x = 364,945,261.13
  5. Step 5: Solve for x
    x = 364,945,261.13/20,043.62
  6. Step 6: Final answer
    x = 18,207.55

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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.