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Finding the Fourth Proportional to 13,716.87, 20,578.38 and 4,356.84

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Solution

The fourth proportional to 13,716.87, 20,578.38 and 4,356.84 is: 6,536.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,716.87 : 20,578.38 = 4,356.84 : x
  2. Step 2: Convert to fraction form
    13,716.87/20,578.38 = 4,356.84/x
  3. Step 3: Cross multiply
    13,716.87x = 20,578.38 × 4,356.84
  4. Step 4: Simplify right side
    13,716.87x = 89,656,709.12
  5. Step 5: Solve for x
    x = 89,656,709.12/13,716.87
  6. Step 6: Final answer
    x = 6,536.24

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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.