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Finding the Fourth Proportional to 23,243.78, 34,854.75 and 8,442.26

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Solution

The fourth proportional to 23,243.78, 34,854.75 and 8,442.26 is: 12,659.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,243.78 : 34,854.75 = 8,442.26 : x
  2. Step 2: Convert to fraction form
    23,243.78/34,854.75 = 8,442.26/x
  3. Step 3: Cross multiply
    23,243.78x = 34,854.75 × 8,442.26
  4. Step 4: Simplify right side
    23,243.78x = 294,252,861.74
  5. Step 5: Solve for x
    x = 294,252,861.74/23,243.78
  6. Step 6: Final answer
    x = 12,659.42

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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.