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Finding the Fourth Proportional to 12,963.10, 19,447.72 and 4,198.00

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Solution

The fourth proportional to 12,963.10, 19,447.72 and 4,198.00 is: 6,297.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,963.10 : 19,447.72 = 4,198.00 : x
  2. Step 2: Convert to fraction form
    12,963.10/19,447.72 = 4,198.00/x
  3. Step 3: Cross multiply
    12,963.10x = 19,447.72 × 4,198.00
  4. Step 4: Simplify right side
    12,963.10x = 81,641,431.32
  5. Step 5: Solve for x
    x = 81,641,431.32/12,963.10
  6. Step 6: Final answer
    x = 6,297.99

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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.