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Finding the Fourth Proportional to 10,154.53, 15,234.20 and 3,229.03

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Solution

The fourth proportional to 10,154.53, 15,234.20 and 3,229.03 is: 4,844.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,154.53 : 15,234.20 = 3,229.03 : x
  2. Step 2: Convert to fraction form
    10,154.53/15,234.20 = 3,229.03/x
  3. Step 3: Cross multiply
    10,154.53x = 15,234.20 × 3,229.03
  4. Step 4: Simplify right side
    10,154.53x = 49,191,688.83
  5. Step 5: Solve for x
    x = 49,191,688.83/10,154.53
  6. Step 6: Final answer
    x = 4,844.31

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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.