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Finding the Fourth Proportional to 20,154.42, 30,234.06 and 5,363.62

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Solution

The fourth proportional to 20,154.42, 30,234.06 and 5,363.62 is: 8,046.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,154.42 : 30,234.06 = 5,363.62 : x
  2. Step 2: Convert to fraction form
    20,154.42/30,234.06 = 5,363.62/x
  3. Step 3: Cross multiply
    20,154.42x = 30,234.06 × 5,363.62
  4. Step 4: Simplify right side
    20,154.42x = 162,163,933.31
  5. Step 5: Solve for x
    x = 162,163,933.31/20,154.42
  6. Step 6: Final answer
    x = 8,046.07

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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.