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Finding the Fourth Proportional to 20,874.57, 31,310.46 and 9,783.74

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Solution

The fourth proportional to 20,874.57, 31,310.46 and 9,783.74 is: 14,674.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,874.57 : 31,310.46 = 9,783.74 : x
  2. Step 2: Convert to fraction form
    20,874.57/31,310.46 = 9,783.74/x
  3. Step 3: Cross multiply
    20,874.57x = 31,310.46 × 9,783.74
  4. Step 4: Simplify right side
    20,874.57x = 306,333,243.37
  5. Step 5: Solve for x
    x = 306,333,243.37/20,874.57
  6. Step 6: Final answer
    x = 14,674.95

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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.