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Finding the Fourth Proportional to 13,694.75, 18,898.75 and 7,726.40

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Solution

The fourth proportional to 13,694.75, 18,898.75 and 7,726.40 is: 10,662.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,694.75 : 18,898.75 = 7,726.40 : x
  2. Step 2: Convert to fraction form
    13,694.75/18,898.75 = 7,726.40/x
  3. Step 3: Cross multiply
    13,694.75x = 18,898.75 × 7,726.40
  4. Step 4: Simplify right side
    13,694.75x = 146,019,302
  5. Step 5: Solve for x
    x = 146,019,302/13,694.75
  6. Step 6: Final answer
    x = 10,662.43

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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.