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Finding the Fourth Proportional to 23,717.60, 35,577.12 and 8,135

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Solution

The fourth proportional to 23,717.60, 35,577.12 and 8,135 is: 12,202.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,717.60 : 35,577.12 = 8,135 : x
  2. Step 2: Convert to fraction form
    23,717.60/35,577.12 = 8,135/x
  3. Step 3: Cross multiply
    23,717.60x = 35,577.12 × 8,135
  4. Step 4: Simplify right side
    23,717.60x = 289,419,871.20
  5. Step 5: Solve for x
    x = 289,419,871.20/23,717.60
  6. Step 6: Final answer
    x = 12,202.75

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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.