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Finding the Fourth Proportional to 22,649.48, 33,957.80 and 11,411.73

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Solution

The fourth proportional to 22,649.48, 33,957.80 and 11,411.73 is: 17,109.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,649.48 : 33,957.80 = 11,411.73 : x
  2. Step 2: Convert to fraction form
    22,649.48/33,957.80 = 11,411.73/x
  3. Step 3: Cross multiply
    22,649.48x = 33,957.80 × 11,411.73
  4. Step 4: Simplify right side
    22,649.48x = 387,517,187.94
  5. Step 5: Solve for x
    x = 387,517,187.94/22,649.48
  6. Step 6: Final answer
    x = 17,109.32

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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.