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Finding the Fourth Proportional to 19,542, 26,972.88 and 11,163.36

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Solution

The fourth proportional to 19,542, 26,972.88 and 11,163.36 is: 15,408.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,542 : 26,972.88 = 11,163.36 : x
  2. Step 2: Convert to fraction form
    19,542/26,972.88 = 11,163.36/x
  3. Step 3: Cross multiply
    19,542x = 26,972.88 × 11,163.36
  4. Step 4: Simplify right side
    19,542x = 301,107,969.68
  5. Step 5: Solve for x
    x = 301,107,969.68/19,542
  6. Step 6: Final answer
    x = 15,408.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.