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Finding the Fourth Proportional to 16,090.50, 24,138.90 and 6,229.86

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Solution

The fourth proportional to 16,090.50, 24,138.90 and 6,229.86 is: 9,346.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,090.50 : 24,138.90 = 6,229.86 : x
  2. Step 2: Convert to fraction form
    16,090.50/24,138.90 = 6,229.86/x
  3. Step 3: Cross multiply
    16,090.50x = 24,138.90 × 6,229.86
  4. Step 4: Simplify right side
    16,090.50x = 150,381,967.55
  5. Step 5: Solve for x
    x = 150,381,967.55/16,090.50
  6. Step 6: Final answer
    x = 9,346.01

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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.