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Finding the Fourth Proportional to 10,286.46, 15,408.09 and 10,169.82

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Solution

The fourth proportional to 10,286.46, 15,408.09 and 10,169.82 is: 15,233.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,286.46 : 15,408.09 = 10,169.82 : x
  2. Step 2: Convert to fraction form
    10,286.46/15,408.09 = 10,169.82/x
  3. Step 3: Cross multiply
    10,286.46x = 15,408.09 × 10,169.82
  4. Step 4: Simplify right side
    10,286.46x = 156,697,501.84
  5. Step 5: Solve for x
    x = 156,697,501.84/10,286.46
  6. Step 6: Final answer
    x = 15,233.37

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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.