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Finding the Fourth Proportional to 13,632.45, 20,454.64 and 6,617.85

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Solution

The fourth proportional to 13,632.45, 20,454.64 and 6,617.85 is: 9,929.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,632.45 : 20,454.64 = 6,617.85 : x
  2. Step 2: Convert to fraction form
    13,632.45/20,454.64 = 6,617.85/x
  3. Step 3: Cross multiply
    13,632.45x = 20,454.64 × 6,617.85
  4. Step 4: Simplify right side
    13,632.45x = 135,365,637.05
  5. Step 5: Solve for x
    x = 135,365,637.05/13,632.45
  6. Step 6: Final answer
    x = 9,929.67

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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.