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Finding the Fourth Proportional to 19,765.29, 29,647.94 and 13,648.17

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Solution

The fourth proportional to 19,765.29, 29,647.94 and 13,648.17 is: 20,472.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,765.29 : 29,647.94 = 13,648.17 : x
  2. Step 2: Convert to fraction form
    19,765.29/29,647.94 = 13,648.17/x
  3. Step 3: Cross multiply
    19,765.29x = 29,647.94 × 13,648.17
  4. Step 4: Simplify right side
    19,765.29x = 404,640,057.03
  5. Step 5: Solve for x
    x = 404,640,057.03/19,765.29
  6. Step 6: Final answer
    x = 20,472.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.