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Finding the Fourth Proportional to 12,202.10, 18,296.21 and 4,802.55

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Solution

The fourth proportional to 12,202.10, 18,296.21 and 4,802.55 is: 7,201.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,202.10 : 18,296.21 = 4,802.55 : x
  2. Step 2: Convert to fraction form
    12,202.10/18,296.21 = 4,802.55/x
  3. Step 3: Cross multiply
    12,202.10x = 18,296.21 × 4,802.55
  4. Step 4: Simplify right side
    12,202.10x = 87,868,406.73
  5. Step 5: Solve for x
    x = 87,868,406.73/12,202.10
  6. Step 6: Final answer
    x = 7,201.09

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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.