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Finding the Fourth Proportional to 13,709.39, 20,564.20 and 3,321.15

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Solution

The fourth proportional to 13,709.39, 20,564.20 and 3,321.15 is: 4,981.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,709.39 : 20,564.20 = 3,321.15 : x
  2. Step 2: Convert to fraction form
    13,709.39/20,564.20 = 3,321.15/x
  3. Step 3: Cross multiply
    13,709.39x = 20,564.20 × 3,321.15
  4. Step 4: Simplify right side
    13,709.39x = 68,296,792.83
  5. Step 5: Solve for x
    x = 68,296,792.83/13,709.39
  6. Step 6: Final answer
    x = 4,981.75

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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.