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Finding the Fourth Proportional to 12,764.72, 17,615.22 and 7,175.72

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Solution

The fourth proportional to 12,764.72, 17,615.22 and 7,175.72 is: 9,902.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,764.72 : 17,615.22 = 7,175.72 : x
  2. Step 2: Convert to fraction form
    12,764.72/17,615.22 = 7,175.72/x
  3. Step 3: Cross multiply
    12,764.72x = 17,615.22 × 7,175.72
  4. Step 4: Simplify right side
    12,764.72x = 126,401,886.46
  5. Step 5: Solve for x
    x = 126,401,886.46/12,764.72
  6. Step 6: Final answer
    x = 9,902.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.