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Finding the Fourth Proportional to 13,174.92, 19,764 and 5,382.72

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Solution

The fourth proportional to 13,174.92, 19,764 and 5,382.72 is: 8,074.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,174.92 : 19,764 = 5,382.72 : x
  2. Step 2: Convert to fraction form
    13,174.92/19,764 = 5,382.72/x
  3. Step 3: Cross multiply
    13,174.92x = 19,764 × 5,382.72
  4. Step 4: Simplify right side
    13,174.92x = 106,384,078.08
  5. Step 5: Solve for x
    x = 106,384,078.08/13,174.92
  6. Step 6: Final answer
    x = 8,074.74

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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.