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Finding the Fourth Proportional to 13,727.52, 18,941.92 and 7,759.14

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Solution

The fourth proportional to 13,727.52, 18,941.92 and 7,759.14 is: 10,706.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,727.52 : 18,941.92 = 7,759.14 : x
  2. Step 2: Convert to fraction form
    13,727.52/18,941.92 = 7,759.14/x
  3. Step 3: Cross multiply
    13,727.52x = 18,941.92 × 7,759.14
  4. Step 4: Simplify right side
    13,727.52x = 146,973,009.15
  5. Step 5: Solve for x
    x = 146,973,009.15/13,727.52
  6. Step 6: Final answer
    x = 10,706.45

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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.