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Finding the Fourth Proportional to 12,963.53, 19,448.37 and 4,198.43

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Solution

The fourth proportional to 12,963.53, 19,448.37 and 4,198.43 is: 6,298.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,963.53 : 19,448.37 = 4,198.43 : x
  2. Step 2: Convert to fraction form
    12,963.53/19,448.37 = 4,198.43/x
  3. Step 3: Cross multiply
    12,963.53x = 19,448.37 × 4,198.43
  4. Step 4: Simplify right side
    12,963.53x = 81,652,522.82
  5. Step 5: Solve for x
    x = 81,652,522.82/12,963.53
  6. Step 6: Final answer
    x = 6,298.64

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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.