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Finding the Fourth Proportional to 12,863.21, 19,296.63 and 4,098.20

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Solution

The fourth proportional to 12,863.21, 19,296.63 and 4,098.20 is: 6,147.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,863.21 : 19,296.63 = 4,098.20 : x
  2. Step 2: Convert to fraction form
    12,863.21/19,296.63 = 4,098.20/x
  3. Step 3: Cross multiply
    12,863.21x = 19,296.63 × 4,098.20
  4. Step 4: Simplify right side
    12,863.21x = 79,081,352.58
  5. Step 5: Solve for x
    x = 79,081,352.58/12,863.21
  6. Step 6: Final answer
    x = 6,147.87

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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.