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Finding the Fourth Proportional to 13,182, 18,195.48 and 9,466.80

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Solution

The fourth proportional to 13,182, 18,195.48 and 9,466.80 is: 13,067.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,182 : 18,195.48 = 9,466.80 : x
  2. Step 2: Convert to fraction form
    13,182/18,195.48 = 9,466.80/x
  3. Step 3: Cross multiply
    13,182x = 18,195.48 × 9,466.80
  4. Step 4: Simplify right side
    13,182x = 172,252,970.06
  5. Step 5: Solve for x
    x = 172,252,970.06/13,182
  6. Step 6: Final answer
    x = 13,067.29

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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.