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Finding the Fourth Proportional to 13,171.67, 19,744.17 and 4,735.67

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Solution

The fourth proportional to 13,171.67, 19,744.17 and 4,735.67 is: 7,098.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,171.67 : 19,744.17 = 4,735.67 : x
  2. Step 2: Convert to fraction form
    13,171.67/19,744.17 = 4,735.67/x
  3. Step 3: Cross multiply
    13,171.67x = 19,744.17 × 4,735.67
  4. Step 4: Simplify right side
    13,171.67x = 93,501,757.06
  5. Step 5: Solve for x
    x = 93,501,757.06/13,171.67
  6. Step 6: Final answer
    x = 7,098.70

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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.