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Finding the Fourth Proportional to 12,010.16, 17,982.84 and 7,839.84

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Solution

The fourth proportional to 12,010.16, 17,982.84 and 7,839.84 is: 11,738.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,010.16 : 17,982.84 = 7,839.84 : x
  2. Step 2: Convert to fraction form
    12,010.16/17,982.84 = 7,839.84/x
  3. Step 3: Cross multiply
    12,010.16x = 17,982.84 × 7,839.84
  4. Step 4: Simplify right side
    12,010.16x = 140,982,588.35
  5. Step 5: Solve for x
    x = 140,982,588.35/12,010.16
  6. Step 6: Final answer
    x = 11,738.61

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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.