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Finding the Fourth Proportional to 22,184.69, 33,276.09 and 9,037.31

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Solution

The fourth proportional to 22,184.69, 33,276.09 and 9,037.31 is: 13,555.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,184.69 : 33,276.09 = 9,037.31 : x
  2. Step 2: Convert to fraction form
    22,184.69/33,276.09 = 9,037.31/x
  3. Step 3: Cross multiply
    22,184.69x = 33,276.09 × 9,037.31
  4. Step 4: Simplify right side
    22,184.69x = 300,726,340.92
  5. Step 5: Solve for x
    x = 300,726,340.92/22,184.69
  6. Step 6: Final answer
    x = 13,555.58

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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.