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Finding the Fourth Proportional to 16,106.57, 22,229.49 and 9,822.59

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Solution

The fourth proportional to 16,106.57, 22,229.49 and 9,822.59 is: 13,556.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,106.57 : 22,229.49 = 9,822.59 : x
  2. Step 2: Convert to fraction form
    16,106.57/22,229.49 = 9,822.59/x
  3. Step 3: Cross multiply
    16,106.57x = 22,229.49 × 9,822.59
  4. Step 4: Simplify right side
    16,106.57x = 218,351,005.92
  5. Step 5: Solve for x
    x = 218,351,005.92/16,106.57
  6. Step 6: Final answer
    x = 13,556.65

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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.