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Finding the Fourth Proportional to 13,880.35, 20,824.17 and 5,115.34

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Solution

The fourth proportional to 13,880.35, 20,824.17 and 5,115.34 is: 7,674.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,880.35 : 20,824.17 = 5,115.34 : x
  2. Step 2: Convert to fraction form
    13,880.35/20,824.17 = 5,115.34/x
  3. Step 3: Cross multiply
    13,880.35x = 20,824.17 × 5,115.34
  4. Step 4: Simplify right side
    13,880.35x = 106,522,709.77
  5. Step 5: Solve for x
    x = 106,522,709.77/13,880.35
  6. Step 6: Final answer
    x = 7,674.35

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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.