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Finding the Fourth Proportional to 11,922.78, 17,847.02 and 10,670.78

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Solution

The fourth proportional to 11,922.78, 17,847.02 and 10,670.78 is: 15,972.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,922.78 : 17,847.02 = 10,670.78 : x
  2. Step 2: Convert to fraction form
    11,922.78/17,847.02 = 10,670.78/x
  3. Step 3: Cross multiply
    11,922.78x = 17,847.02 × 10,670.78
  4. Step 4: Simplify right side
    11,922.78x = 190,441,624.08
  5. Step 5: Solve for x
    x = 190,441,624.08/11,922.78
  6. Step 6: Final answer
    x = 15,972.92

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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.