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Finding the Fourth Proportional to 20,416.25, 30,621.57 and 5,623.04

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Solution

The fourth proportional to 20,416.25, 30,621.57 and 5,623.04 is: 8,433.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,416.25 : 30,621.57 = 5,623.04 : x
  2. Step 2: Convert to fraction form
    20,416.25/30,621.57 = 5,623.04/x
  3. Step 3: Cross multiply
    20,416.25x = 30,621.57 × 5,623.04
  4. Step 4: Simplify right side
    20,416.25x = 172,186,159.86
  5. Step 5: Solve for x
    x = 172,186,159.86/20,416.25
  6. Step 6: Final answer
    x = 8,433.78

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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.