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Finding the Fourth Proportional to 13,751.87, 20,624.49 and 6,349.22

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Solution

The fourth proportional to 13,751.87, 20,624.49 and 6,349.22 is: 9,522.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,751.87 : 20,624.49 = 6,349.22 : x
  2. Step 2: Convert to fraction form
    13,751.87/20,624.49 = 6,349.22/x
  3. Step 3: Cross multiply
    13,751.87x = 20,624.49 × 6,349.22
  4. Step 4: Simplify right side
    13,751.87x = 130,949,289.53
  5. Step 5: Solve for x
    x = 130,949,289.53/13,751.87
  6. Step 6: Final answer
    x = 9,522.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.