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Finding the Fourth Proportional to 13,034.70, 19,552.11 and 3,174.03

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Solution

The fourth proportional to 13,034.70, 19,552.11 and 3,174.03 is: 4,761.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,034.70 : 19,552.11 = 3,174.03 : x
  2. Step 2: Convert to fraction form
    13,034.70/19,552.11 = 3,174.03/x
  3. Step 3: Cross multiply
    13,034.70x = 19,552.11 × 3,174.03
  4. Step 4: Simplify right side
    13,034.70x = 62,058,983.70
  5. Step 5: Solve for x
    x = 62,058,983.70/13,034.70
  6. Step 6: Final answer
    x = 4,761.06

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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.