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Finding the Fourth Proportional to 11,924.31, 17,881.20 and 6,376.62

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Solution

The fourth proportional to 11,924.31, 17,881.20 and 6,376.62 is: 9,562.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,924.31 : 17,881.20 = 6,376.62 : x
  2. Step 2: Convert to fraction form
    11,924.31/17,881.20 = 6,376.62/x
  3. Step 3: Cross multiply
    11,924.31x = 17,881.20 × 6,376.62
  4. Step 4: Simplify right side
    11,924.31x = 114,021,617.54
  5. Step 5: Solve for x
    x = 114,021,617.54/11,924.31
  6. Step 6: Final answer
    x = 9,562.11

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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.