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Finding the Fourth Proportional to 16,105.68, 22,226.04 and 9,818.64

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Solution

The fourth proportional to 16,105.68, 22,226.04 and 9,818.64 is: 13,549.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,105.68 : 22,226.04 = 9,818.64 : x
  2. Step 2: Convert to fraction form
    16,105.68/22,226.04 = 9,818.64/x
  3. Step 3: Cross multiply
    16,105.68x = 22,226.04 × 9,818.64
  4. Step 4: Simplify right side
    16,105.68x = 218,229,485.39
  5. Step 5: Solve for x
    x = 218,229,485.39/16,105.68
  6. Step 6: Final answer
    x = 13,549.85

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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.