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Finding the Fourth Proportional to 19,744.64, 27,249.23 and 11,249.42

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Solution

The fourth proportional to 19,744.64, 27,249.23 and 11,249.42 is: 15,525.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,744.64 : 27,249.23 = 11,249.42 : x
  2. Step 2: Convert to fraction form
    19,744.64/27,249.23 = 11,249.42/x
  3. Step 3: Cross multiply
    19,744.64x = 27,249.23 × 11,249.42
  4. Step 4: Simplify right side
    19,744.64x = 306,538,032.95
  5. Step 5: Solve for x
    x = 306,538,032.95/19,744.64
  6. Step 6: Final answer
    x = 15,525.13

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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.