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Finding the Fourth Proportional to 13,765.25, 20,633.18 and 5,441.67

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Solution

The fourth proportional to 13,765.25, 20,633.18 and 5,441.67 is: 8,156.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,765.25 : 20,633.18 = 5,441.67 : x
  2. Step 2: Convert to fraction form
    13,765.25/20,633.18 = 5,441.67/x
  3. Step 3: Cross multiply
    13,765.25x = 20,633.18 × 5,441.67
  4. Step 4: Simplify right side
    13,765.25x = 112,278,929.40
  5. Step 5: Solve for x
    x = 112,278,929.40/13,765.25
  6. Step 6: Final answer
    x = 8,156.70

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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.