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Finding the Fourth Proportional to 16,088.62, 22,202.22 and 9,801

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Solution

The fourth proportional to 16,088.62, 22,202.22 and 9,801 is: 13,525.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,088.62 : 22,202.22 = 9,801 : x
  2. Step 2: Convert to fraction form
    16,088.62/22,202.22 = 9,801/x
  3. Step 3: Cross multiply
    16,088.62x = 22,202.22 × 9,801
  4. Step 4: Simplify right side
    16,088.62x = 217,603,958.22
  5. Step 5: Solve for x
    x = 217,603,958.22/16,088.62
  6. Step 6: Final answer
    x = 13,525.33

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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.