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Finding the Fourth Proportional to 20,949.30, 31,414.03 and 7,612.99

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Solution

The fourth proportional to 20,949.30, 31,414.03 and 7,612.99 is: 11,415.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,949.30 : 31,414.03 = 7,612.99 : x
  2. Step 2: Convert to fraction form
    20,949.30/31,414.03 = 7,612.99/x
  3. Step 3: Cross multiply
    20,949.30x = 31,414.03 × 7,612.99
  4. Step 4: Simplify right side
    20,949.30x = 239,154,598.68
  5. Step 5: Solve for x
    x = 239,154,598.68/20,949.30
  6. Step 6: Final answer
    x = 11,415.88

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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.