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Finding the Fourth Proportional to 22,531.41, 33,770.71 and 9,196.08

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Solution

The fourth proportional to 22,531.41, 33,770.71 and 9,196.08 is: 13,783.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,531.41 : 33,770.71 = 9,196.08 : x
  2. Step 2: Convert to fraction form
    22,531.41/33,770.71 = 9,196.08/x
  3. Step 3: Cross multiply
    22,531.41x = 33,770.71 × 9,196.08
  4. Step 4: Simplify right side
    22,531.41x = 310,558,150.82
  5. Step 5: Solve for x
    x = 310,558,150.82/22,531.41
  6. Step 6: Final answer
    x = 13,783.34

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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.