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Finding the Fourth Proportional to 12,206.97, 18,309.51 and 3,887.46

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Solution

The fourth proportional to 12,206.97, 18,309.51 and 3,887.46 is: 5,830.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,206.97 : 18,309.51 = 3,887.46 : x
  2. Step 2: Convert to fraction form
    12,206.97/18,309.51 = 3,887.46/x
  3. Step 3: Cross multiply
    12,206.97x = 18,309.51 × 3,887.46
  4. Step 4: Simplify right side
    12,206.97x = 71,177,487.74
  5. Step 5: Solve for x
    x = 71,177,487.74/12,206.97
  6. Step 6: Final answer
    x = 5,830.89

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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.