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Finding the Fourth Proportional to 13,722.39, 18,935.07 and 8,677.71

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Solution

The fourth proportional to 13,722.39, 18,935.07 and 8,677.71 is: 11,974.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,722.39 : 18,935.07 = 8,677.71 : x
  2. Step 2: Convert to fraction form
    13,722.39/18,935.07 = 8,677.71/x
  3. Step 3: Cross multiply
    13,722.39x = 18,935.07 × 8,677.71
  4. Step 4: Simplify right side
    13,722.39x = 164,313,046.29
  5. Step 5: Solve for x
    x = 164,313,046.29/13,722.39
  6. Step 6: Final answer
    x = 11,974.08

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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.