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Finding the Fourth Proportional to 22,511.82, 33,757.47 and 9,356.34

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Solution

The fourth proportional to 22,511.82, 33,757.47 and 9,356.34 is: 14,030.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,511.82 : 33,757.47 = 9,356.34 : x
  2. Step 2: Convert to fraction form
    22,511.82/33,757.47 = 9,356.34/x
  3. Step 3: Cross multiply
    22,511.82x = 33,757.47 × 9,356.34
  4. Step 4: Simplify right side
    22,511.82x = 315,846,366.86
  5. Step 5: Solve for x
    x = 315,846,366.86/22,511.82
  6. Step 6: Final answer
    x = 14,030.25

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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.