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Finding the Fourth Proportional to 13,754.80, 20,628.88 and 6,352.14

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Solution

The fourth proportional to 13,754.80, 20,628.88 and 6,352.14 is: 9,526.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,754.80 : 20,628.88 = 6,352.14 : x
  2. Step 2: Convert to fraction form
    13,754.80/20,628.88 = 6,352.14/x
  3. Step 3: Cross multiply
    13,754.80x = 20,628.88 × 6,352.14
  4. Step 4: Simplify right side
    13,754.80x = 131,037,517.92
  5. Step 5: Solve for x
    x = 131,037,517.92/13,754.80
  6. Step 6: Final answer
    x = 9,526.68

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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.