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Finding the Fourth Proportional to 16,833.94, 23,227.08 and 9,663.44

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Solution

The fourth proportional to 16,833.94, 23,227.08 and 9,663.44 is: 13,333.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,833.94 : 23,227.08 = 9,663.44 : x
  2. Step 2: Convert to fraction form
    16,833.94/23,227.08 = 9,663.44/x
  3. Step 3: Cross multiply
    16,833.94x = 23,227.08 × 9,663.44
  4. Step 4: Simplify right side
    16,833.94x = 224,453,493.96
  5. Step 5: Solve for x
    x = 224,453,493.96/16,833.94
  6. Step 6: Final answer
    x = 13,333.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.