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Finding the Fourth Proportional to 11,982.34, 17,966.78 and 8,238.52

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Solution

The fourth proportional to 11,982.34, 17,966.78 and 8,238.52 is: 12,353.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,982.34 : 17,966.78 = 8,238.52 : x
  2. Step 2: Convert to fraction form
    11,982.34/17,966.78 = 8,238.52/x
  3. Step 3: Cross multiply
    11,982.34x = 17,966.78 × 8,238.52
  4. Step 4: Simplify right side
    11,982.34x = 148,019,688.53
  5. Step 5: Solve for x
    x = 148,019,688.53/11,982.34
  6. Step 6: Final answer
    x = 12,353.15

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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.