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Finding the Fourth Proportional to 22,022.31, 33,033.45 and 7,801.32

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Solution

The fourth proportional to 22,022.31, 33,033.45 and 7,801.32 is: 11,701.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,022.31 : 33,033.45 = 7,801.32 : x
  2. Step 2: Convert to fraction form
    22,022.31/33,033.45 = 7,801.32/x
  3. Step 3: Cross multiply
    22,022.31x = 33,033.45 × 7,801.32
  4. Step 4: Simplify right side
    22,022.31x = 257,704,514.15
  5. Step 5: Solve for x
    x = 257,704,514.15/22,022.31
  6. Step 6: Final answer
    x = 11,701.97

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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.