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Finding the Fourth Proportional to 22,107.70, 33,150.15 and 6,523.30

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Solution

The fourth proportional to 22,107.70, 33,150.15 and 6,523.30 is: 9,781.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,107.70 : 33,150.15 = 6,523.30 : x
  2. Step 2: Convert to fraction form
    22,107.70/33,150.15 = 6,523.30/x
  3. Step 3: Cross multiply
    22,107.70x = 33,150.15 × 6,523.30
  4. Step 4: Simplify right side
    22,107.70x = 216,248,373.50
  5. Step 5: Solve for x
    x = 216,248,373.50/22,107.70
  6. Step 6: Final answer
    x = 9,781.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.