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Finding the Fourth Proportional to 27,716.63, 38,249.90 and 15,142.19

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Solution

The fourth proportional to 27,716.63, 38,249.90 and 15,142.19 is: 20,896.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,716.63 : 38,249.90 = 15,142.19 : x
  2. Step 2: Convert to fraction form
    27,716.63/38,249.90 = 15,142.19/x
  3. Step 3: Cross multiply
    27,716.63x = 38,249.90 × 15,142.19
  4. Step 4: Simplify right side
    27,716.63x = 579,186,986.32
  5. Step 5: Solve for x
    x = 579,186,986.32/27,716.63
  6. Step 6: Final answer
    x = 20,896.74

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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.