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Finding the Fourth Proportional to 13,624.57, 20,436.84 and 3,763.83

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Solution

The fourth proportional to 13,624.57, 20,436.84 and 3,763.83 is: 5,645.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,624.57 : 20,436.84 = 3,763.83 : x
  2. Step 2: Convert to fraction form
    13,624.57/20,436.84 = 3,763.83/x
  3. Step 3: Cross multiply
    13,624.57x = 20,436.84 × 3,763.83
  4. Step 4: Simplify right side
    13,624.57x = 76,920,868.14
  5. Step 5: Solve for x
    x = 76,920,868.14/13,624.57
  6. Step 6: Final answer
    x = 5,645.75

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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.