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Finding the Fourth Proportional to 13,716.27, 20,575.16 and 3,854.78

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Solution

The fourth proportional to 13,716.27, 20,575.16 and 3,854.78 is: 5,782.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,716.27 : 20,575.16 = 3,854.78 : x
  2. Step 2: Convert to fraction form
    13,716.27/20,575.16 = 3,854.78/x
  3. Step 3: Cross multiply
    13,716.27x = 20,575.16 × 3,854.78
  4. Step 4: Simplify right side
    13,716.27x = 79,312,593.12
  5. Step 5: Solve for x
    x = 79,312,593.12/13,716.27
  6. Step 6: Final answer
    x = 5,782.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.