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Finding the Fourth Proportional to 18,106.16, 27,163 and 5,625.84

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Solution

The fourth proportional to 18,106.16, 27,163 and 5,625.84 is: 8,439.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,106.16 : 27,163 = 5,625.84 : x
  2. Step 2: Convert to fraction form
    18,106.16/27,163 = 5,625.84/x
  3. Step 3: Cross multiply
    18,106.16x = 27,163 × 5,625.84
  4. Step 4: Simplify right side
    18,106.16x = 152,814,691.92
  5. Step 5: Solve for x
    x = 152,814,691.92/18,106.16
  6. Step 6: Final answer
    x = 8,439.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.