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Finding the Fourth Proportional to 18,205.39, 27,293.10 and 8,210.80

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Solution

The fourth proportional to 18,205.39, 27,293.10 and 8,210.80 is: 12,309.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,205.39 : 27,293.10 = 8,210.80 : x
  2. Step 2: Convert to fraction form
    18,205.39/27,293.10 = 8,210.80/x
  3. Step 3: Cross multiply
    18,205.39x = 27,293.10 × 8,210.80
  4. Step 4: Simplify right side
    18,205.39x = 224,098,185.48
  5. Step 5: Solve for x
    x = 224,098,185.48/18,205.39
  6. Step 6: Final answer
    x = 12,309.44

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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.