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Finding the Fourth Proportional to 23,667.87, 35,508.63 and 7,657.05

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Solution

The fourth proportional to 23,667.87, 35,508.63 and 7,657.05 is: 11,487.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,667.87 : 35,508.63 = 7,657.05 : x
  2. Step 2: Convert to fraction form
    23,667.87/35,508.63 = 7,657.05/x
  3. Step 3: Cross multiply
    23,667.87x = 35,508.63 × 7,657.05
  4. Step 4: Simplify right side
    23,667.87x = 271,891,355.34
  5. Step 5: Solve for x
    x = 271,891,355.34/23,667.87
  6. Step 6: Final answer
    x = 11,487.78

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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.