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Finding the Fourth Proportional to 13,026.33, 17,974.31 and 7,720.29

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Solution

The fourth proportional to 13,026.33, 17,974.31 and 7,720.29 is: 10,652.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,026.33 : 17,974.31 = 7,720.29 : x
  2. Step 2: Convert to fraction form
    13,026.33/17,974.31 = 7,720.29/x
  3. Step 3: Cross multiply
    13,026.33x = 17,974.31 × 7,720.29
  4. Step 4: Simplify right side
    13,026.33x = 138,766,847.15
  5. Step 5: Solve for x
    x = 138,766,847.15/13,026.33
  6. Step 6: Final answer
    x = 10,652.80

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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.