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Finding the Fourth Proportional to 20,697.89, 31,049.94 and 9,605.72

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Solution

The fourth proportional to 20,697.89, 31,049.94 and 9,605.72 is: 14,410.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,697.89 : 31,049.94 = 9,605.72 : x
  2. Step 2: Convert to fraction form
    20,697.89/31,049.94 = 9,605.72/x
  3. Step 3: Cross multiply
    20,697.89x = 31,049.94 × 9,605.72
  4. Step 4: Simplify right side
    20,697.89x = 298,256,874.41
  5. Step 5: Solve for x
    x = 298,256,874.41/20,697.89
  6. Step 6: Final answer
    x = 14,410.01

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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.