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Finding the Fourth Proportional to 16,494, 24,679 and 11,573.24

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Solution

The fourth proportional to 16,494, 24,679 and 11,573.24 is: 17,316.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,494 : 24,679 = 11,573.24 : x
  2. Step 2: Convert to fraction form
    16,494/24,679 = 11,573.24/x
  3. Step 3: Cross multiply
    16,494x = 24,679 × 11,573.24
  4. Step 4: Simplify right side
    16,494x = 285,615,989.96
  5. Step 5: Solve for x
    x = 285,615,989.96/16,494
  6. Step 6: Final answer
    x = 17,316.36

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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.