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Finding the Fourth Proportional to 20,357.87, 30,551.22 and 9,265.98

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Solution

The fourth proportional to 20,357.87, 30,551.22 and 9,265.98 is: 13,905.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,357.87 : 30,551.22 = 9,265.98 : x
  2. Step 2: Convert to fraction form
    20,357.87/30,551.22 = 9,265.98/x
  3. Step 3: Cross multiply
    20,357.87x = 30,551.22 × 9,265.98
  4. Step 4: Simplify right side
    20,357.87x = 283,086,993.50
  5. Step 5: Solve for x
    x = 283,086,993.50/20,357.87
  6. Step 6: Final answer
    x = 13,905.53

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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.