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Finding the Fourth Proportional to 12,793.71, 17,655.17 and 7,128.44

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Solution

The fourth proportional to 12,793.71, 17,655.17 and 7,128.44 is: 9,837.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,793.71 : 17,655.17 = 7,128.44 : x
  2. Step 2: Convert to fraction form
    12,793.71/17,655.17 = 7,128.44/x
  3. Step 3: Cross multiply
    12,793.71x = 17,655.17 × 7,128.44
  4. Step 4: Simplify right side
    12,793.71x = 125,853,696.12
  5. Step 5: Solve for x
    x = 125,853,696.12/12,793.71
  6. Step 6: Final answer
    x = 9,837.15

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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.