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Finding the Fourth Proportional to 23,677.68, 35,512.20 and 9,634.32

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Solution

The fourth proportional to 23,677.68, 35,512.20 and 9,634.32 is: 14,449.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,677.68 : 35,512.20 = 9,634.32 : x
  2. Step 2: Convert to fraction form
    23,677.68/35,512.20 = 9,634.32/x
  3. Step 3: Cross multiply
    23,677.68x = 35,512.20 × 9,634.32
  4. Step 4: Simplify right side
    23,677.68x = 342,135,898.70
  5. Step 5: Solve for x
    x = 342,135,898.70/23,677.68
  6. Step 6: Final answer
    x = 14,449.72

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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.