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Finding the Fourth Proportional to 22,469.87, 33,704.94 and 9,986.96

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Solution

The fourth proportional to 22,469.87, 33,704.94 and 9,986.96 is: 14,980.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,469.87 : 33,704.94 = 9,986.96 : x
  2. Step 2: Convert to fraction form
    22,469.87/33,704.94 = 9,986.96/x
  3. Step 3: Cross multiply
    22,469.87x = 33,704.94 × 9,986.96
  4. Step 4: Simplify right side
    22,469.87x = 336,609,887.58
  5. Step 5: Solve for x
    x = 336,609,887.58/22,469.87
  6. Step 6: Final answer
    x = 14,980.50

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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.