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Finding the Fourth Proportional to 20,348.28, 30,519.27 and 7,874.10

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Solution

The fourth proportional to 20,348.28, 30,519.27 and 7,874.10 is: 11,809.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,348.28 : 30,519.27 = 7,874.10 : x
  2. Step 2: Convert to fraction form
    20,348.28/30,519.27 = 7,874.10/x
  3. Step 3: Cross multiply
    20,348.28x = 30,519.27 × 7,874.10
  4. Step 4: Simplify right side
    20,348.28x = 240,311,783.91
  5. Step 5: Solve for x
    x = 240,311,783.91/20,348.28
  6. Step 6: Final answer
    x = 11,809.93

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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.