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Finding the Fourth Proportional to 21,174.80, 31,751.94 and 6,380.96

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Solution

The fourth proportional to 21,174.80, 31,751.94 and 6,380.96 is: 9,568.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,174.80 : 31,751.94 = 6,380.96 : x
  2. Step 2: Convert to fraction form
    21,174.80/31,751.94 = 6,380.96/x
  3. Step 3: Cross multiply
    21,174.80x = 31,751.94 × 6,380.96
  4. Step 4: Simplify right side
    21,174.80x = 202,607,859.06
  5. Step 5: Solve for x
    x = 202,607,859.06/21,174.80
  6. Step 6: Final answer
    x = 9,568.35

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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.