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Finding the Fourth Proportional to 22,070.31, 33,086.82 and 9,580.92

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Solution

The fourth proportional to 22,070.31, 33,086.82 and 9,580.92 is: 14,363.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,070.31 : 33,086.82 = 9,580.92 : x
  2. Step 2: Convert to fraction form
    22,070.31/33,086.82 = 9,580.92/x
  3. Step 3: Cross multiply
    22,070.31x = 33,086.82 × 9,580.92
  4. Step 4: Simplify right side
    22,070.31x = 317,002,175.47
  5. Step 5: Solve for x
    x = 317,002,175.47/22,070.31
  6. Step 6: Final answer
    x = 14,363.29

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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.