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Finding the Fourth Proportional to 16,174.05, 22,320.36 and 8,906.96

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Solution

The fourth proportional to 16,174.05, 22,320.36 and 8,906.96 is: 12,291.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,174.05 : 22,320.36 = 8,906.96 : x
  2. Step 2: Convert to fraction form
    16,174.05/22,320.36 = 8,906.96/x
  3. Step 3: Cross multiply
    16,174.05x = 22,320.36 × 8,906.96
  4. Step 4: Simplify right side
    16,174.05x = 198,806,609.51
  5. Step 5: Solve for x
    x = 198,806,609.51/16,174.05
  6. Step 6: Final answer
    x = 12,291.71

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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.