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Finding the Fourth Proportional to 12,334.44, 18,511.38 and 5,763.72

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Solution

The fourth proportional to 12,334.44, 18,511.38 and 5,763.72 is: 8,650.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,334.44 : 18,511.38 = 5,763.72 : x
  2. Step 2: Convert to fraction form
    12,334.44/18,511.38 = 5,763.72/x
  3. Step 3: Cross multiply
    12,334.44x = 18,511.38 × 5,763.72
  4. Step 4: Simplify right side
    12,334.44x = 106,694,411.13
  5. Step 5: Solve for x
    x = 106,694,411.13/12,334.44
  6. Step 6: Final answer
    x = 8,650.12

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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.