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Finding the Fourth Proportional to 16,023.34, 22,112.08 and 8,853.24

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Solution

The fourth proportional to 16,023.34, 22,112.08 and 8,853.24 is: 12,217.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,023.34 : 22,112.08 = 8,853.24 : x
  2. Step 2: Convert to fraction form
    16,023.34/22,112.08 = 8,853.24/x
  3. Step 3: Cross multiply
    16,023.34x = 22,112.08 × 8,853.24
  4. Step 4: Simplify right side
    16,023.34x = 195,763,500.03
  5. Step 5: Solve for x
    x = 195,763,500.03/16,023.34
  6. Step 6: Final answer
    x = 12,217.39

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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.