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Finding the Fourth Proportional to 20,414.56, 30,621.84 and 5,623.63

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Solution

The fourth proportional to 20,414.56, 30,621.84 and 5,623.63 is: 8,435.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,414.56 : 30,621.84 = 5,623.63 : x
  2. Step 2: Convert to fraction form
    20,414.56/30,621.84 = 5,623.63/x
  3. Step 3: Cross multiply
    20,414.56x = 30,621.84 × 5,623.63
  4. Step 4: Simplify right side
    20,414.56x = 172,205,898.08
  5. Step 5: Solve for x
    x = 172,205,898.08/20,414.56
  6. Step 6: Final answer
    x = 8,435.45

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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.