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Finding the Fourth Proportional to 16,031.85, 22,123.91 and 8,958.28

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Solution

The fourth proportional to 16,031.85, 22,123.91 and 8,958.28 is: 12,362.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,031.85 : 22,123.91 = 8,958.28 : x
  2. Step 2: Convert to fraction form
    16,031.85/22,123.91 = 8,958.28/x
  3. Step 3: Cross multiply
    16,031.85x = 22,123.91 × 8,958.28
  4. Step 4: Simplify right side
    16,031.85x = 198,192,025.06
  5. Step 5: Solve for x
    x = 198,192,025.06/16,031.85
  6. Step 6: Final answer
    x = 12,362.39

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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.