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Finding the Fourth Proportional to 11,814.24, 17,726.24 and 5,972.56

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Solution

The fourth proportional to 11,814.24, 17,726.24 and 5,972.56 is: 8,961.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,814.24 : 17,726.24 = 5,972.56 : x
  2. Step 2: Convert to fraction form
    11,814.24/17,726.24 = 5,972.56/x
  3. Step 3: Cross multiply
    11,814.24x = 17,726.24 × 5,972.56
  4. Step 4: Simplify right side
    11,814.24x = 105,871,031.97
  5. Step 5: Solve for x
    x = 105,871,031.97/11,814.24
  6. Step 6: Final answer
    x = 8,961.31

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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.