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Finding the Fourth Proportional to 12,001, 17,998.12 and 7,189.24

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Solution

The fourth proportional to 12,001, 17,998.12 and 7,189.24 is: 10,781.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,001 : 17,998.12 = 7,189.24 : x
  2. Step 2: Convert to fraction form
    12,001/17,998.12 = 7,189.24/x
  3. Step 3: Cross multiply
    12,001x = 17,998.12 × 7,189.24
  4. Step 4: Simplify right side
    12,001x = 129,392,804.23
  5. Step 5: Solve for x
    x = 129,392,804.23/12,001
  6. Step 6: Final answer
    x = 10,781.84

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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.