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Finding the Fourth Proportional to 23,003.78, 34,485.16 and 8,209.42

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Solution

The fourth proportional to 23,003.78, 34,485.16 and 8,209.42 is: 12,306.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,003.78 : 34,485.16 = 8,209.42 : x
  2. Step 2: Convert to fraction form
    23,003.78/34,485.16 = 8,209.42/x
  3. Step 3: Cross multiply
    23,003.78x = 34,485.16 × 8,209.42
  4. Step 4: Simplify right side
    23,003.78x = 283,103,070.86
  5. Step 5: Solve for x
    x = 283,103,070.86/23,003.78
  6. Step 6: Final answer
    x = 12,306.81

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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.