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Finding the Fourth Proportional to 22,646.48, 33,954.22 and 11,531.66

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Solution

The fourth proportional to 22,646.48, 33,954.22 and 11,531.66 is: 17,289.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,646.48 : 33,954.22 = 11,531.66 : x
  2. Step 2: Convert to fraction form
    22,646.48/33,954.22 = 11,531.66/x
  3. Step 3: Cross multiply
    22,646.48x = 33,954.22 × 11,531.66
  4. Step 4: Simplify right side
    22,646.48x = 391,548,520.61
  5. Step 5: Solve for x
    x = 391,548,520.61/22,646.48
  6. Step 6: Final answer
    x = 17,289.60

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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.