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Finding the Fourth Proportional to 23,954.32, 35,947.98 and 8,371.95

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Solution

The fourth proportional to 23,954.32, 35,947.98 and 8,371.95 is: 12,563.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,954.32 : 35,947.98 = 8,371.95 : x
  2. Step 2: Convert to fraction form
    23,954.32/35,947.98 = 8,371.95/x
  3. Step 3: Cross multiply
    23,954.32x = 35,947.98 × 8,371.95
  4. Step 4: Simplify right side
    23,954.32x = 300,954,511.42
  5. Step 5: Solve for x
    x = 300,954,511.42/23,954.32
  6. Step 6: Final answer
    x = 12,563.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.