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Finding the Fourth Proportional to 12,575.25, 18,865.17 and 5,175.69

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Solution

The fourth proportional to 12,575.25, 18,865.17 and 5,175.69 is: 7,764.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,575.25 : 18,865.17 = 5,175.69 : x
  2. Step 2: Convert to fraction form
    12,575.25/18,865.17 = 5,175.69/x
  3. Step 3: Cross multiply
    12,575.25x = 18,865.17 × 5,175.69
  4. Step 4: Simplify right side
    12,575.25x = 97,640,271.72
  5. Step 5: Solve for x
    x = 97,640,271.72/12,575.25
  6. Step 6: Final answer
    x = 7,764.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.