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Finding the Fourth Proportional to 13,001.67, 19,504.13 and 4,234.23

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Solution

The fourth proportional to 13,001.67, 19,504.13 and 4,234.23 is: 6,351.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,001.67 : 19,504.13 = 4,234.23 : x
  2. Step 2: Convert to fraction form
    13,001.67/19,504.13 = 4,234.23/x
  3. Step 3: Cross multiply
    13,001.67x = 19,504.13 × 4,234.23
  4. Step 4: Simplify right side
    13,001.67x = 82,584,972.37
  5. Step 5: Solve for x
    x = 82,584,972.37/13,001.67
  6. Step 6: Final answer
    x = 6,351.87

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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.