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Finding the Fourth Proportional to 20,754.72, 31,114.56 and 9,655.68

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Solution

The fourth proportional to 20,754.72, 31,114.56 and 9,655.68 is: 14,475.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,754.72 : 31,114.56 = 9,655.68 : x
  2. Step 2: Convert to fraction form
    20,754.72/31,114.56 = 9,655.68/x
  3. Step 3: Cross multiply
    20,754.72x = 31,114.56 × 9,655.68
  4. Step 4: Simplify right side
    20,754.72x = 300,432,234.70
  5. Step 5: Solve for x
    x = 300,432,234.70/20,754.72
  6. Step 6: Final answer
    x = 14,475.37

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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.