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Finding the Fourth Proportional to 21,176.80, 31,754.94 and 6,382.96

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Solution

The fourth proportional to 21,176.80, 31,754.94 and 6,382.96 is: 9,571.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,176.80 : 31,754.94 = 6,382.96 : x
  2. Step 2: Convert to fraction form
    21,176.80/31,754.94 = 6,382.96/x
  3. Step 3: Cross multiply
    21,176.80x = 31,754.94 × 6,382.96
  4. Step 4: Simplify right side
    21,176.80x = 202,690,511.82
  5. Step 5: Solve for x
    x = 202,690,511.82/21,176.80
  6. Step 6: Final answer
    x = 9,571.35

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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.