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Finding the Fourth Proportional to 12,767.08, 17,613.92 and 7,729.48

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Solution

The fourth proportional to 12,767.08, 17,613.92 and 7,729.48 is: 10,663.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,767.08 : 17,613.92 = 7,729.48 : x
  2. Step 2: Convert to fraction form
    12,767.08/17,613.92 = 7,729.48/x
  3. Step 3: Cross multiply
    12,767.08x = 17,613.92 × 7,729.48
  4. Step 4: Simplify right side
    12,767.08x = 136,146,442.36
  5. Step 5: Solve for x
    x = 136,146,442.36/12,767.08
  6. Step 6: Final answer
    x = 10,663.87

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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.