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Finding the Fourth Proportional to 13,832.98, 19,067.20 and 9,355.10

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Solution

The fourth proportional to 13,832.98, 19,067.20 and 9,355.10 is: 12,894.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,832.98 : 19,067.20 = 9,355.10 : x
  2. Step 2: Convert to fraction form
    13,832.98/19,067.20 = 9,355.10/x
  3. Step 3: Cross multiply
    13,832.98x = 19,067.20 × 9,355.10
  4. Step 4: Simplify right side
    13,832.98x = 178,375,562.72
  5. Step 5: Solve for x
    x = 178,375,562.72/13,832.98
  6. Step 6: Final answer
    x = 12,894.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.