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Finding the Fourth Proportional to 20,793.61, 31,193.07 and 9,546.22

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Solution

The fourth proportional to 20,793.61, 31,193.07 and 9,546.22 is: 14,320.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,793.61 : 31,193.07 = 9,546.22 : x
  2. Step 2: Convert to fraction form
    20,793.61/31,193.07 = 9,546.22/x
  3. Step 3: Cross multiply
    20,793.61x = 31,193.07 × 9,546.22
  4. Step 4: Simplify right side
    20,793.61x = 297,775,911.89
  5. Step 5: Solve for x
    x = 297,775,911.89/20,793.61
  6. Step 6: Final answer
    x = 14,320.55

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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.