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Finding the Fourth Proportional to 22,336.70, 33,508.70 and 7,546.50

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Solution

The fourth proportional to 22,336.70, 33,508.70 and 7,546.50 is: 11,320.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,336.70 : 33,508.70 = 7,546.50 : x
  2. Step 2: Convert to fraction form
    22,336.70/33,508.70 = 7,546.50/x
  3. Step 3: Cross multiply
    22,336.70x = 33,508.70 × 7,546.50
  4. Step 4: Simplify right side
    22,336.70x = 252,873,404.55
  5. Step 5: Solve for x
    x = 252,873,404.55/22,336.70
  6. Step 6: Final answer
    x = 11,320.98

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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.