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Finding the Fourth Proportional to 11,922, 17,877.18 and 3,600.42

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Solution

The fourth proportional to 11,922, 17,877.18 and 3,600.42 is: 5,398.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,922 : 17,877.18 = 3,600.42 : x
  2. Step 2: Convert to fraction form
    11,922/17,877.18 = 3,600.42/x
  3. Step 3: Cross multiply
    11,922x = 17,877.18 × 3,600.42
  4. Step 4: Simplify right side
    11,922x = 64,365,356.42
  5. Step 5: Solve for x
    x = 64,365,356.42/11,922
  6. Step 6: Final answer
    x = 5,398.87

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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.