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Finding the Fourth Proportional to 12,671.22, 17,486.24 and 7,082.22

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Solution

The fourth proportional to 12,671.22, 17,486.24 and 7,082.22 is: 9,773.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,671.22 : 17,486.24 = 7,082.22 : x
  2. Step 2: Convert to fraction form
    12,671.22/17,486.24 = 7,082.22/x
  3. Step 3: Cross multiply
    12,671.22x = 17,486.24 × 7,082.22
  4. Step 4: Simplify right side
    12,671.22x = 123,841,398.65
  5. Step 5: Solve for x
    x = 123,841,398.65/12,671.22
  6. Step 6: Final answer
    x = 9,773.44

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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.