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Finding the Fourth Proportional to 13,949.14, 19,249.64 and 7,661.11

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Solution

The fourth proportional to 13,949.14, 19,249.64 and 7,661.11 is: 10,572.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,949.14 : 19,249.64 = 7,661.11 : x
  2. Step 2: Convert to fraction form
    13,949.14/19,249.64 = 7,661.11/x
  3. Step 3: Cross multiply
    13,949.14x = 19,249.64 × 7,661.11
  4. Step 4: Simplify right side
    13,949.14x = 147,473,571.19
  5. Step 5: Solve for x
    x = 147,473,571.19/13,949.14
  6. Step 6: Final answer
    x = 10,572.23

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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.