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Finding the Fourth Proportional to 22,572.84, 33,845.88 and 9,241.86

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Solution

The fourth proportional to 22,572.84, 33,845.88 and 9,241.86 is: 13,857.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,572.84 : 33,845.88 = 9,241.86 : x
  2. Step 2: Convert to fraction form
    22,572.84/33,845.88 = 9,241.86/x
  3. Step 3: Cross multiply
    22,572.84x = 33,845.88 × 9,241.86
  4. Step 4: Simplify right side
    22,572.84x = 312,798,884.54
  5. Step 5: Solve for x
    x = 312,798,884.54/22,572.84
  6. Step 6: Final answer
    x = 13,857.31

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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.