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Finding the Fourth Proportional to 13,726.89, 18,942.06 and 7,759.12

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Solution

The fourth proportional to 13,726.89, 18,942.06 and 7,759.12 is: 10,706.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,726.89 : 18,942.06 = 7,759.12 : x
  2. Step 2: Convert to fraction form
    13,726.89/18,942.06 = 7,759.12/x
  3. Step 3: Cross multiply
    13,726.89x = 18,942.06 × 7,759.12
  4. Step 4: Simplify right side
    13,726.89x = 146,973,669.23
  5. Step 5: Solve for x
    x = 146,973,669.23/13,726.89
  6. Step 6: Final answer
    x = 10,706.99

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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.