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Finding the Fourth Proportional to 13,175.69, 19,760.69 and 4,170.52

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Solution

The fourth proportional to 13,175.69, 19,760.69 and 4,170.52 is: 6,254.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,175.69 : 19,760.69 = 4,170.52 : x
  2. Step 2: Convert to fraction form
    13,175.69/19,760.69 = 4,170.52/x
  3. Step 3: Cross multiply
    13,175.69x = 19,760.69 × 4,170.52
  4. Step 4: Simplify right side
    13,175.69x = 82,412,254.06
  5. Step 5: Solve for x
    x = 82,412,254.06/13,175.69
  6. Step 6: Final answer
    x = 6,254.87

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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.