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Finding the Fourth Proportional to 22,023.87, 33,037.90 and 7,232.87

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Solution

The fourth proportional to 22,023.87, 33,037.90 and 7,232.87 is: 10,849.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,023.87 : 33,037.90 = 7,232.87 : x
  2. Step 2: Convert to fraction form
    22,023.87/33,037.90 = 7,232.87/x
  3. Step 3: Cross multiply
    22,023.87x = 33,037.90 × 7,232.87
  4. Step 4: Simplify right side
    22,023.87x = 238,958,652.50
  5. Step 5: Solve for x
    x = 238,958,652.50/22,023.87
  6. Step 6: Final answer
    x = 10,849.98

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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.