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Finding the Fourth Proportional to 13,754.85, 20,628.96 and 6,352.20

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Solution

The fourth proportional to 13,754.85, 20,628.96 and 6,352.20 is: 9,526.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,754.85 : 20,628.96 = 6,352.20 : x
  2. Step 2: Convert to fraction form
    13,754.85/20,628.96 = 6,352.20/x
  3. Step 3: Cross multiply
    13,754.85x = 20,628.96 × 6,352.20
  4. Step 4: Simplify right side
    13,754.85x = 131,039,279.71
  5. Step 5: Solve for x
    x = 131,039,279.71/13,754.85
  6. Step 6: Final answer
    x = 9,526.77

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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.