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Finding the Fourth Proportional to 20,864.88, 31,299.84 and 7,014.24

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Solution

The fourth proportional to 20,864.88, 31,299.84 and 7,014.24 is: 10,522.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,864.88 : 31,299.84 = 7,014.24 : x
  2. Step 2: Convert to fraction form
    20,864.88/31,299.84 = 7,014.24/x
  3. Step 3: Cross multiply
    20,864.88x = 31,299.84 × 7,014.24
  4. Step 4: Simplify right side
    20,864.88x = 219,544,589.72
  5. Step 5: Solve for x
    x = 219,544,589.72/20,864.88
  6. Step 6: Final answer
    x = 10,522.21

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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.