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Finding the Fourth Proportional to 12,201.72, 18,308.70 and 4,414.20

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Solution

The fourth proportional to 12,201.72, 18,308.70 and 4,414.20 is: 6,623.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,201.72 : 18,308.70 = 4,414.20 : x
  2. Step 2: Convert to fraction form
    12,201.72/18,308.70 = 4,414.20/x
  3. Step 3: Cross multiply
    12,201.72x = 18,308.70 × 4,414.20
  4. Step 4: Simplify right side
    12,201.72x = 80,818,263.54
  5. Step 5: Solve for x
    x = 80,818,263.54/12,201.72
  6. Step 6: Final answer
    x = 6,623.51

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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.