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Finding the Fourth Proportional to 19,450, 26,839.40 and 10,949.41

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Solution

The fourth proportional to 19,450, 26,839.40 and 10,949.41 is: 15,109.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,450 : 26,839.40 = 10,949.41 : x
  2. Step 2: Convert to fraction form
    19,450/26,839.40 = 10,949.41/x
  3. Step 3: Cross multiply
    19,450x = 26,839.40 × 10,949.41
  4. Step 4: Simplify right side
    19,450x = 293,875,594.75
  5. Step 5: Solve for x
    x = 293,875,594.75/19,450
  6. Step 6: Final answer
    x = 15,109.29

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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.