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Finding the Fourth Proportional to 13,441.44, 20,120 and 8,494

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Solution

The fourth proportional to 13,441.44, 20,120 and 8,494 is: 12,714.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,441.44 : 20,120 = 8,494 : x
  2. Step 2: Convert to fraction form
    13,441.44/20,120 = 8,494/x
  3. Step 3: Cross multiply
    13,441.44x = 20,120 × 8,494
  4. Step 4: Simplify right side
    13,441.44x = 170,899,280
  5. Step 5: Solve for x
    x = 170,899,280/13,441.44
  6. Step 6: Final answer
    x = 12,714.36

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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.