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Finding the Fourth Proportional to 17,038.67, 25,549.37 and 7,796.75

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Solution

The fourth proportional to 17,038.67, 25,549.37 and 7,796.75 is: 11,691.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,038.67 : 25,549.37 = 7,796.75 : x
  2. Step 2: Convert to fraction form
    17,038.67/25,549.37 = 7,796.75/x
  3. Step 3: Cross multiply
    17,038.67x = 25,549.37 × 7,796.75
  4. Step 4: Simplify right side
    17,038.67x = 199,202,011.56
  5. Step 5: Solve for x
    x = 199,202,011.56/17,038.67
  6. Step 6: Final answer
    x = 11,691.17

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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.