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Finding the Fourth Proportional to 12,872.88, 19,296.97 and 4,102.07

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Solution

The fourth proportional to 12,872.88, 19,296.97 and 4,102.07 is: 6,149.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,872.88 : 19,296.97 = 4,102.07 : x
  2. Step 2: Convert to fraction form
    12,872.88/19,296.97 = 4,102.07/x
  3. Step 3: Cross multiply
    12,872.88x = 19,296.97 × 4,102.07
  4. Step 4: Simplify right side
    12,872.88x = 79,157,414.99
  5. Step 5: Solve for x
    x = 79,157,414.99/12,872.88
  6. Step 6: Final answer
    x = 6,149.16

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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.