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Finding the Fourth Proportional to 18,201.20, 27,319.40 and 9,442.16

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Solution

The fourth proportional to 18,201.20, 27,319.40 and 9,442.16 is: 14,172.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,201.20 : 27,319.40 = 9,442.16 : x
  2. Step 2: Convert to fraction form
    18,201.20/27,319.40 = 9,442.16/x
  3. Step 3: Cross multiply
    18,201.20x = 27,319.40 × 9,442.16
  4. Step 4: Simplify right side
    18,201.20x = 257,954,145.90
  5. Step 5: Solve for x
    x = 257,954,145.90/18,201.20
  6. Step 6: Final answer
    x = 14,172.37

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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.