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Finding the Fourth Proportional to 12,190.20, 18,278.10 and 6,358.20

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Solution

The fourth proportional to 12,190.20, 18,278.10 and 6,358.20 is: 9,533.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,190.20 : 18,278.10 = 6,358.20 : x
  2. Step 2: Convert to fraction form
    12,190.20/18,278.10 = 6,358.20/x
  3. Step 3: Cross multiply
    12,190.20x = 18,278.10 × 6,358.20
  4. Step 4: Simplify right side
    12,190.20x = 116,215,815.42
  5. Step 5: Solve for x
    x = 116,215,815.42/12,190.20
  6. Step 6: Final answer
    x = 9,533.54

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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.