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Finding the Fourth Proportional to 23,689.92, 35,555.34 and 9,657.69

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Solution

The fourth proportional to 23,689.92, 35,555.34 and 9,657.69 is: 14,494.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,689.92 : 35,555.34 = 9,657.69 : x
  2. Step 2: Convert to fraction form
    23,689.92/35,555.34 = 9,657.69/x
  3. Step 3: Cross multiply
    23,689.92x = 35,555.34 × 9,657.69
  4. Step 4: Simplify right side
    23,689.92x = 343,382,451.56
  5. Step 5: Solve for x
    x = 343,382,451.56/23,689.92
  6. Step 6: Final answer
    x = 14,494.88

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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.