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Finding the Fourth Proportional to 12,198.27, 18,298.76 and 4,801.76

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Solution

The fourth proportional to 12,198.27, 18,298.76 and 4,801.76 is: 7,203.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,198.27 : 18,298.76 = 4,801.76 : x
  2. Step 2: Convert to fraction form
    12,198.27/18,298.76 = 4,801.76/x
  3. Step 3: Cross multiply
    12,198.27x = 18,298.76 × 4,801.76
  4. Step 4: Simplify right side
    12,198.27x = 87,866,138.32
  5. Step 5: Solve for x
    x = 87,866,138.32/12,198.27
  6. Step 6: Final answer
    x = 7,203.16

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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.