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Finding the Fourth Proportional to 23,227.92, 34,851.24 and 9,378

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Solution

The fourth proportional to 23,227.92, 34,851.24 and 9,378 is: 14,070.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,227.92 : 34,851.24 = 9,378 : x
  2. Step 2: Convert to fraction form
    23,227.92/34,851.24 = 9,378/x
  3. Step 3: Cross multiply
    23,227.92x = 34,851.24 × 9,378
  4. Step 4: Simplify right side
    23,227.92x = 326,834,928.72
  5. Step 5: Solve for x
    x = 326,834,928.72/23,227.92
  6. Step 6: Final answer
    x = 14,070.78

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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.