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Finding the Fourth Proportional to 16,106.63, 22,229.57 and 9,822.65

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Solution

The fourth proportional to 16,106.63, 22,229.57 and 9,822.65 is: 13,556.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,106.63 : 22,229.57 = 9,822.65 : x
  2. Step 2: Convert to fraction form
    16,106.63/22,229.57 = 9,822.65/x
  3. Step 3: Cross multiply
    16,106.63x = 22,229.57 × 9,822.65
  4. Step 4: Simplify right side
    16,106.63x = 218,353,199.17
  5. Step 5: Solve for x
    x = 218,353,199.17/16,106.63
  6. Step 6: Final answer
    x = 13,556.73

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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.