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Finding the Fourth Proportional to 22,022.96, 33,037.88 and 7,228.50

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Solution

The fourth proportional to 22,022.96, 33,037.88 and 7,228.50 is: 10,843.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,022.96 : 33,037.88 = 7,228.50 : x
  2. Step 2: Convert to fraction form
    22,022.96/33,037.88 = 7,228.50/x
  3. Step 3: Cross multiply
    22,022.96x = 33,037.88 × 7,228.50
  4. Step 4: Simplify right side
    22,022.96x = 238,814,279.44
  5. Step 5: Solve for x
    x = 238,814,279.44/22,022.96
  6. Step 6: Final answer
    x = 10,843.88

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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.