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Finding the Fourth Proportional to 11,924.37, 17,891.64 and 5,998.14

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Solution

The fourth proportional to 11,924.37, 17,891.64 and 5,998.14 is: 8,999.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,924.37 : 17,891.64 = 5,998.14 : x
  2. Step 2: Convert to fraction form
    11,924.37/17,891.64 = 5,998.14/x
  3. Step 3: Cross multiply
    11,924.37x = 17,891.64 × 5,998.14
  4. Step 4: Simplify right side
    11,924.37x = 107,316,561.55
  5. Step 5: Solve for x
    x = 107,316,561.55/11,924.37
  6. Step 6: Final answer
    x = 8,999.77

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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.