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Finding the Fourth Proportional to 26,102.87, 39,119.42 and 13,596.68

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Solution

The fourth proportional to 26,102.87, 39,119.42 and 13,596.68 is: 20,376.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,102.87 : 39,119.42 = 13,596.68 : x
  2. Step 2: Convert to fraction form
    26,102.87/39,119.42 = 13,596.68/x
  3. Step 3: Cross multiply
    26,102.87x = 39,119.42 × 13,596.68
  4. Step 4: Simplify right side
    26,102.87x = 531,894,235.53
  5. Step 5: Solve for x
    x = 531,894,235.53/26,102.87
  6. Step 6: Final answer
    x = 20,376.85

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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.