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Finding the Fourth Proportional to 13,164.67, 19,748.24 and 4,844.85

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Solution

The fourth proportional to 13,164.67, 19,748.24 and 4,844.85 is: 7,267.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,164.67 : 19,748.24 = 4,844.85 : x
  2. Step 2: Convert to fraction form
    13,164.67/19,748.24 = 4,844.85/x
  3. Step 3: Cross multiply
    13,164.67x = 19,748.24 × 4,844.85
  4. Step 4: Simplify right side
    13,164.67x = 95,677,260.56
  5. Step 5: Solve for x
    x = 95,677,260.56/13,164.67
  6. Step 6: Final answer
    x = 7,267.73

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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.