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Finding the Fourth Proportional to 12,963.88, 19,447.26 and 4,197.16

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Solution

The fourth proportional to 12,963.88, 19,447.26 and 4,197.16 is: 6,296.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,963.88 : 19,447.26 = 4,197.16 : x
  2. Step 2: Convert to fraction form
    12,963.88/19,447.26 = 4,197.16/x
  3. Step 3: Cross multiply
    12,963.88x = 19,447.26 × 4,197.16
  4. Step 4: Simplify right side
    12,963.88x = 81,623,261.78
  5. Step 5: Solve for x
    x = 81,623,261.78/12,963.88
  6. Step 6: Final answer
    x = 6,296.21

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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.