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Finding the Fourth Proportional to 16,198.16, 22,352.90 and 9,825.48

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Solution

The fourth proportional to 16,198.16, 22,352.90 and 9,825.48 is: 13,558.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,198.16 : 22,352.90 = 9,825.48 : x
  2. Step 2: Convert to fraction form
    16,198.16/22,352.90 = 9,825.48/x
  3. Step 3: Cross multiply
    16,198.16x = 22,352.90 × 9,825.48
  4. Step 4: Simplify right side
    16,198.16x = 219,627,922.76
  5. Step 5: Solve for x
    x = 219,627,922.76/16,198.16
  6. Step 6: Final answer
    x = 13,558.82

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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.