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Finding the Fourth Proportional to 13,694.67, 18,898.07 and 7,726.23

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Solution

The fourth proportional to 13,694.67, 18,898.07 and 7,726.23 is: 10,661.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,694.67 : 18,898.07 = 7,726.23 : x
  2. Step 2: Convert to fraction form
    13,694.67/18,898.07 = 7,726.23/x
  3. Step 3: Cross multiply
    13,694.67x = 18,898.07 × 7,726.23
  4. Step 4: Simplify right side
    13,694.67x = 146,010,796.74
  5. Step 5: Solve for x
    x = 146,010,796.74/13,694.67
  6. Step 6: Final answer
    x = 10,661.87

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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.