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Finding the Fourth Proportional to 16,094.69, 24,147.36 and 6,234.05

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Solution

The fourth proportional to 16,094.69, 24,147.36 and 6,234.05 is: 9,353.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,094.69 : 24,147.36 = 6,234.05 : x
  2. Step 2: Convert to fraction form
    16,094.69/24,147.36 = 6,234.05/x
  3. Step 3: Cross multiply
    16,094.69x = 24,147.36 × 6,234.05
  4. Step 4: Simplify right side
    16,094.69x = 150,535,849.61
  5. Step 5: Solve for x
    x = 150,535,849.61/16,094.69
  6. Step 6: Final answer
    x = 9,353.14

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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.