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Finding the Fourth Proportional to 13,727.51, 18,941.92 and 7,759.13

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Solution

The fourth proportional to 13,727.51, 18,941.92 and 7,759.13 is: 10,706.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,727.51 : 18,941.92 = 7,759.13 : x
  2. Step 2: Convert to fraction form
    13,727.51/18,941.92 = 7,759.13/x
  3. Step 3: Cross multiply
    13,727.51x = 18,941.92 × 7,759.13
  4. Step 4: Simplify right side
    13,727.51x = 146,972,819.73
  5. Step 5: Solve for x
    x = 146,972,819.73/13,727.51
  6. Step 6: Final answer
    x = 10,706.44

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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.