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Finding the Fourth Proportional to 12,837.08, 17,715.02 and 7,171.46

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Solution

The fourth proportional to 12,837.08, 17,715.02 and 7,171.46 is: 9,896.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,837.08 : 17,715.02 = 7,171.46 : x
  2. Step 2: Convert to fraction form
    12,837.08/17,715.02 = 7,171.46/x
  3. Step 3: Cross multiply
    12,837.08x = 17,715.02 × 7,171.46
  4. Step 4: Simplify right side
    12,837.08x = 127,042,557.33
  5. Step 5: Solve for x
    x = 127,042,557.33/12,837.08
  6. Step 6: Final answer
    x = 9,896.53

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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.