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Finding the Fourth Proportional to 16,094.27, 24,149.64 and 7,670.30

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Solution

The fourth proportional to 16,094.27, 24,149.64 and 7,670.30 is: 11,509.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,094.27 : 24,149.64 = 7,670.30 : x
  2. Step 2: Convert to fraction form
    16,094.27/24,149.64 = 7,670.30/x
  3. Step 3: Cross multiply
    16,094.27x = 24,149.64 × 7,670.30
  4. Step 4: Simplify right side
    16,094.27x = 185,234,983.69
  5. Step 5: Solve for x
    x = 185,234,983.69/16,094.27
  6. Step 6: Final answer
    x = 11,509.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.