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Finding the Fourth Proportional to 13,029.06, 17,963.18 and 8,305.14

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Solution

The fourth proportional to 13,029.06, 17,963.18 and 8,305.14 is: 11,450.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,029.06 : 17,963.18 = 8,305.14 : x
  2. Step 2: Convert to fraction form
    13,029.06/17,963.18 = 8,305.14/x
  3. Step 3: Cross multiply
    13,029.06x = 17,963.18 × 8,305.14
  4. Step 4: Simplify right side
    13,029.06x = 149,186,724.75
  5. Step 5: Solve for x
    x = 149,186,724.75/13,029.06
  6. Step 6: Final answer
    x = 11,450.31

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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.