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Finding the Fourth Proportional to 13,764.72, 18,990.36 and 8,175.60

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Solution

The fourth proportional to 13,764.72, 18,990.36 and 8,175.60 is: 11,279.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,764.72 : 18,990.36 = 8,175.60 : x
  2. Step 2: Convert to fraction form
    13,764.72/18,990.36 = 8,175.60/x
  3. Step 3: Cross multiply
    13,764.72x = 18,990.36 × 8,175.60
  4. Step 4: Simplify right side
    13,764.72x = 155,257,587.22
  5. Step 5: Solve for x
    x = 155,257,587.22/13,764.72
  6. Step 6: Final answer
    x = 11,279.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.