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Finding the Fourth Proportional to 12,202.60, 18,306.60 and 5,627.20

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Solution

The fourth proportional to 12,202.60, 18,306.60 and 5,627.20 is: 8,442.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,202.60 : 18,306.60 = 5,627.20 : x
  2. Step 2: Convert to fraction form
    12,202.60/18,306.60 = 5,627.20/x
  3. Step 3: Cross multiply
    12,202.60x = 18,306.60 × 5,627.20
  4. Step 4: Simplify right side
    12,202.60x = 103,014,899.52
  5. Step 5: Solve for x
    x = 103,014,899.52/12,202.60
  6. Step 6: Final answer
    x = 8,442.05

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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.