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Finding the Fourth Proportional to 13,716.52, 20,558.24 and 6,310.84

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Solution

The fourth proportional to 13,716.52, 20,558.24 and 6,310.84 is: 9,458.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,716.52 : 20,558.24 = 6,310.84 : x
  2. Step 2: Convert to fraction form
    13,716.52/20,558.24 = 6,310.84/x
  3. Step 3: Cross multiply
    13,716.52x = 20,558.24 × 6,310.84
  4. Step 4: Simplify right side
    13,716.52x = 129,739,763.32
  5. Step 5: Solve for x
    x = 129,739,763.32/13,716.52
  6. Step 6: Final answer
    x = 9,458.65

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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.