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Finding the Fourth Proportional to 16,385.90, 22,612.70 and 9,311.09

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Solution

The fourth proportional to 16,385.90, 22,612.70 and 9,311.09 is: 12,849.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,385.90 : 22,612.70 = 9,311.09 : x
  2. Step 2: Convert to fraction form
    16,385.90/22,612.70 = 9,311.09/x
  3. Step 3: Cross multiply
    16,385.90x = 22,612.70 × 9,311.09
  4. Step 4: Simplify right side
    16,385.90x = 210,548,795.06
  5. Step 5: Solve for x
    x = 210,548,795.06/16,385.90
  6. Step 6: Final answer
    x = 12,849.39

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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.