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Finding the Fourth Proportional to 16,921.37, 25,376.49 and 5,827.82

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Solution

The fourth proportional to 16,921.37, 25,376.49 and 5,827.82 is: 8,739.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,921.37 : 25,376.49 = 5,827.82 : x
  2. Step 2: Convert to fraction form
    16,921.37/25,376.49 = 5,827.82/x
  3. Step 3: Cross multiply
    16,921.37x = 25,376.49 × 5,827.82
  4. Step 4: Simplify right side
    16,921.37x = 147,889,489.07
  5. Step 5: Solve for x
    x = 147,889,489.07/16,921.37
  6. Step 6: Final answer
    x = 8,739.80

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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.