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Finding the Fourth Proportional to 14,249.97, 19,645.79 and 9,995.31

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Solution

The fourth proportional to 14,249.97, 19,645.79 and 9,995.31 is: 13,780.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,249.97 : 19,645.79 = 9,995.31 : x
  2. Step 2: Convert to fraction form
    14,249.97/19,645.79 = 9,995.31/x
  3. Step 3: Cross multiply
    14,249.97x = 19,645.79 × 9,995.31
  4. Step 4: Simplify right side
    14,249.97x = 196,365,711.27
  5. Step 5: Solve for x
    x = 196,365,711.27/14,249.97
  6. Step 6: Final answer
    x = 13,780.08

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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.