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Finding the Fourth Proportional to 26,409.16, 39,611.79 and 9,761.42

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Solution

The fourth proportional to 26,409.16, 39,611.79 and 9,761.42 is: 14,641.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,409.16 : 39,611.79 = 9,761.42 : x
  2. Step 2: Convert to fraction form
    26,409.16/39,611.79 = 9,761.42/x
  3. Step 3: Cross multiply
    26,409.16x = 39,611.79 × 9,761.42
  4. Step 4: Simplify right side
    26,409.16x = 386,667,319.14
  5. Step 5: Solve for x
    x = 386,667,319.14/26,409.16
  6. Step 6: Final answer
    x = 14,641.41

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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.