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Finding the Fourth Proportional to 23,589.46, 35,372 and 6,947.34

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Solution

The fourth proportional to 23,589.46, 35,372 and 6,947.34 is: 10,417.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,589.46 : 35,372 = 6,947.34 : x
  2. Step 2: Convert to fraction form
    23,589.46/35,372 = 6,947.34/x
  3. Step 3: Cross multiply
    23,589.46x = 35,372 × 6,947.34
  4. Step 4: Simplify right side
    23,589.46x = 245,741,310.48
  5. Step 5: Solve for x
    x = 245,741,310.48/23,589.46
  6. Step 6: Final answer
    x = 10,417.42

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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.