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Finding the Fourth Proportional to 21,856.92, 30,163.74 and 16,542.36

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Solution

The fourth proportional to 21,856.92, 30,163.74 and 16,542.36 is: 22,829.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,856.92 : 30,163.74 = 16,542.36 : x
  2. Step 2: Convert to fraction form
    21,856.92/30,163.74 = 16,542.36/x
  3. Step 3: Cross multiply
    21,856.92x = 30,163.74 × 16,542.36
  4. Step 4: Simplify right side
    21,856.92x = 498,979,446.03
  5. Step 5: Solve for x
    x = 498,979,446.03/21,856.92
  6. Step 6: Final answer
    x = 22,829.36

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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.