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Finding the Fourth Proportional to 13,584.70, 20,382.92 and 7,349.10

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Solution

The fourth proportional to 13,584.70, 20,382.92 and 7,349.10 is: 11,026.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,584.70 : 20,382.92 = 7,349.10 : x
  2. Step 2: Convert to fraction form
    13,584.70/20,382.92 = 7,349.10/x
  3. Step 3: Cross multiply
    13,584.70x = 20,382.92 × 7,349.10
  4. Step 4: Simplify right side
    13,584.70x = 149,796,183.06
  5. Step 5: Solve for x
    x = 149,796,183.06/13,584.70
  6. Step 6: Final answer
    x = 11,026.83

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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.