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Finding the Fourth Proportional to 16,091.16, 22,212 and 15,647.28

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Solution

The fourth proportional to 16,091.16, 22,212 and 15,647.28 is: 21,599.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,091.16 : 22,212 = 15,647.28 : x
  2. Step 2: Convert to fraction form
    16,091.16/22,212 = 15,647.28/x
  3. Step 3: Cross multiply
    16,091.16x = 22,212 × 15,647.28
  4. Step 4: Simplify right side
    16,091.16x = 347,557,383.36
  5. Step 5: Solve for x
    x = 347,557,383.36/16,091.16
  6. Step 6: Final answer
    x = 21,599.27

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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.