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Finding the Fourth Proportional to 11,952.14, 17,921.01 and 7,019.42

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Solution

The fourth proportional to 11,952.14, 17,921.01 and 7,019.42 is: 10,524.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,952.14 : 17,921.01 = 7,019.42 : x
  2. Step 2: Convert to fraction form
    11,952.14/17,921.01 = 7,019.42/x
  3. Step 3: Cross multiply
    11,952.14x = 17,921.01 × 7,019.42
  4. Step 4: Simplify right side
    11,952.14x = 125,795,096.01
  5. Step 5: Solve for x
    x = 125,795,096.01/11,952.14
  6. Step 6: Final answer
    x = 10,524.90

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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.