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Finding the Fourth Proportional to 16,272, 22,458.72 and 9,198.72

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Solution

The fourth proportional to 16,272, 22,458.72 and 9,198.72 is: 12,696.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,272 : 22,458.72 = 9,198.72 : x
  2. Step 2: Convert to fraction form
    16,272/22,458.72 = 9,198.72/x
  3. Step 3: Cross multiply
    16,272x = 22,458.72 × 9,198.72
  4. Step 4: Simplify right side
    16,272x = 206,591,476.84
  5. Step 5: Solve for x
    x = 206,591,476.84/16,272
  6. Step 6: Final answer
    x = 12,696.13

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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.