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Finding the Fourth Proportional to 16,031.69, 22,123.78 and 8,958.23

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Solution

The fourth proportional to 16,031.69, 22,123.78 and 8,958.23 is: 12,362.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,031.69 : 22,123.78 = 8,958.23 : x
  2. Step 2: Convert to fraction form
    16,031.69/22,123.78 = 8,958.23/x
  3. Step 3: Cross multiply
    16,031.69x = 22,123.78 × 8,958.23
  4. Step 4: Simplify right side
    16,031.69x = 198,189,799.09
  5. Step 5: Solve for x
    x = 198,189,799.09/16,031.69
  6. Step 6: Final answer
    x = 12,362.38

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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.