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Finding the Fourth Proportional to 13,019.97, 17,963.31 and 8,305.77

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Solution

The fourth proportional to 13,019.97, 17,963.31 and 8,305.77 is: 11,459.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,019.97 : 17,963.31 = 8,305.77 : x
  2. Step 2: Convert to fraction form
    13,019.97/17,963.31 = 8,305.77/x
  3. Step 3: Cross multiply
    13,019.97x = 17,963.31 × 8,305.77
  4. Step 4: Simplify right side
    13,019.97x = 149,199,121.30
  5. Step 5: Solve for x
    x = 149,199,121.30/13,019.97
  6. Step 6: Final answer
    x = 11,459.25

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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.