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Finding the Fourth Proportional to 20,894.49, 31,340.27 and 9,803.61

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Solution

The fourth proportional to 20,894.49, 31,340.27 and 9,803.61 is: 14,704.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,894.49 : 31,340.27 = 9,803.61 : x
  2. Step 2: Convert to fraction form
    20,894.49/31,340.27 = 9,803.61/x
  3. Step 3: Cross multiply
    20,894.49x = 31,340.27 × 9,803.61
  4. Step 4: Simplify right side
    20,894.49x = 307,247,735.36
  5. Step 5: Solve for x
    x = 307,247,735.36/20,894.49
  6. Step 6: Final answer
    x = 14,704.73

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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.