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Finding the Fourth Proportional to 26,380.24, 39,574.24 and 7,657.83

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Solution

The fourth proportional to 26,380.24, 39,574.24 and 7,657.83 is: 11,487.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,380.24 : 39,574.24 = 7,657.83 : x
  2. Step 2: Convert to fraction form
    26,380.24/39,574.24 = 7,657.83/x
  3. Step 3: Cross multiply
    26,380.24x = 39,574.24 × 7,657.83
  4. Step 4: Simplify right side
    26,380.24x = 303,052,783.15
  5. Step 5: Solve for x
    x = 303,052,783.15/26,380.24
  6. Step 6: Final answer
    x = 11,487.87

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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.