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Finding the Fourth Proportional to 13,624.88, 20,419.11 and 7,286.76

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Solution

The fourth proportional to 13,624.88, 20,419.11 and 7,286.76 is: 10,920.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,624.88 : 20,419.11 = 7,286.76 : x
  2. Step 2: Convert to fraction form
    13,624.88/20,419.11 = 7,286.76/x
  3. Step 3: Cross multiply
    13,624.88x = 20,419.11 × 7,286.76
  4. Step 4: Simplify right side
    13,624.88x = 148,789,153.98
  5. Step 5: Solve for x
    x = 148,789,153.98/13,624.88
  6. Step 6: Final answer
    x = 10,920.41

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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.