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Finding the Fourth Proportional to 12,198.74, 18,285.54 and 4,800.20

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Solution

The fourth proportional to 12,198.74, 18,285.54 and 4,800.20 is: 7,195.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,198.74 : 18,285.54 = 4,800.20 : x
  2. Step 2: Convert to fraction form
    12,198.74/18,285.54 = 4,800.20/x
  3. Step 3: Cross multiply
    12,198.74x = 18,285.54 × 4,800.20
  4. Step 4: Simplify right side
    12,198.74x = 87,774,249.11
  5. Step 5: Solve for x
    x = 87,774,249.11/12,198.74
  6. Step 6: Final answer
    x = 7,195.35

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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.