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Finding the Fourth Proportional to 12,516.78, 17,272.40 and 7,138.47

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Solution

The fourth proportional to 12,516.78, 17,272.40 and 7,138.47 is: 9,850.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,516.78 : 17,272.40 = 7,138.47 : x
  2. Step 2: Convert to fraction form
    12,516.78/17,272.40 = 7,138.47/x
  3. Step 3: Cross multiply
    12,516.78x = 17,272.40 × 7,138.47
  4. Step 4: Simplify right side
    12,516.78x = 123,298,467.05
  5. Step 5: Solve for x
    x = 123,298,467.05/12,516.78
  6. Step 6: Final answer
    x = 9,850.66

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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.