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Finding the Fourth Proportional to 13,175.20, 19,741.20 and 11,231.20

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Solution

The fourth proportional to 13,175.20, 19,741.20 and 11,231.20 is: 16,828.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,175.20 : 19,741.20 = 11,231.20 : x
  2. Step 2: Convert to fraction form
    13,175.20/19,741.20 = 11,231.20/x
  3. Step 3: Cross multiply
    13,175.20x = 19,741.20 × 11,231.20
  4. Step 4: Simplify right side
    13,175.20x = 221,717,365.44
  5. Step 5: Solve for x
    x = 221,717,365.44/13,175.20
  6. Step 6: Final answer
    x = 16,828.39

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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.