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Finding the Fourth Proportional to 16,923.61, 25,379.16 and 5,827.24

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Solution

The fourth proportional to 16,923.61, 25,379.16 and 5,827.24 is: 8,738.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,923.61 : 25,379.16 = 5,827.24 : x
  2. Step 2: Convert to fraction form
    16,923.61/25,379.16 = 5,827.24/x
  3. Step 3: Cross multiply
    16,923.61x = 25,379.16 × 5,827.24
  4. Step 4: Simplify right side
    16,923.61x = 147,890,456.32
  5. Step 5: Solve for x
    x = 147,890,456.32/16,923.61
  6. Step 6: Final answer
    x = 8,738.71

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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.