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Finding the Fourth Proportional to 21,167.72, 31,754.82 and 5,586.56

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Solution

The fourth proportional to 21,167.72, 31,754.82 and 5,586.56 is: 8,380.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,167.72 : 31,754.82 = 5,586.56 : x
  2. Step 2: Convert to fraction form
    21,167.72/31,754.82 = 5,586.56/x
  3. Step 3: Cross multiply
    21,167.72x = 31,754.82 × 5,586.56
  4. Step 4: Simplify right side
    21,167.72x = 177,400,207.22
  5. Step 5: Solve for x
    x = 177,400,207.22/21,167.72
  6. Step 6: Final answer
    x = 8,380.70

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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.