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Finding the Fourth Proportional to 21,199.78, 31,793.54 and 8,549.54

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Solution

The fourth proportional to 21,199.78, 31,793.54 and 8,549.54 is: 12,821.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,199.78 : 31,793.54 = 8,549.54 : x
  2. Step 2: Convert to fraction form
    21,199.78/31,793.54 = 8,549.54/x
  3. Step 3: Cross multiply
    21,199.78x = 31,793.54 × 8,549.54
  4. Step 4: Simplify right side
    21,199.78x = 271,820,141.97
  5. Step 5: Solve for x
    x = 271,820,141.97/21,199.78
  6. Step 6: Final answer
    x = 12,821.84

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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.