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Finding the Fourth Proportional to 12,201.59, 18,307.62 and 3,882.28

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Solution

The fourth proportional to 12,201.59, 18,307.62 and 3,882.28 is: 5,825.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,201.59 : 18,307.62 = 3,882.28 : x
  2. Step 2: Convert to fraction form
    12,201.59/18,307.62 = 3,882.28/x
  3. Step 3: Cross multiply
    12,201.59x = 18,307.62 × 3,882.28
  4. Step 4: Simplify right side
    12,201.59x = 71,075,295.53
  5. Step 5: Solve for x
    x = 71,075,295.53/12,201.59
  6. Step 6: Final answer
    x = 5,825.09

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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.