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Finding the Fourth Proportional to 12,175.49, 18,262.42 and 4,781.20

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Solution

The fourth proportional to 12,175.49, 18,262.42 and 4,781.20 is: 7,171.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,175.49 : 18,262.42 = 4,781.20 : x
  2. Step 2: Convert to fraction form
    12,175.49/18,262.42 = 4,781.20/x
  3. Step 3: Cross multiply
    12,175.49x = 18,262.42 × 4,781.20
  4. Step 4: Simplify right side
    12,175.49x = 87,316,282.50
  5. Step 5: Solve for x
    x = 87,316,282.50/12,175.49
  6. Step 6: Final answer
    x = 7,171.48

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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.