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Finding the Fourth Proportional to 22,467.69, 33,701.67 and 9,984.78

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Solution

The fourth proportional to 22,467.69, 33,701.67 and 9,984.78 is: 14,977.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,467.69 : 33,701.67 = 9,984.78 : x
  2. Step 2: Convert to fraction form
    22,467.69/33,701.67 = 9,984.78/x
  3. Step 3: Cross multiply
    22,467.69x = 33,701.67 × 9,984.78
  4. Step 4: Simplify right side
    22,467.69x = 336,503,760.58
  5. Step 5: Solve for x
    x = 336,503,760.58/22,467.69
  6. Step 6: Final answer
    x = 14,977.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.