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Finding the Fourth Proportional to 22,685.26, 33,989.49 and 13,901.86

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Solution

The fourth proportional to 22,685.26, 33,989.49 and 13,901.86 is: 20,829.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,685.26 : 33,989.49 = 13,901.86 : x
  2. Step 2: Convert to fraction form
    22,685.26/33,989.49 = 13,901.86/x
  3. Step 3: Cross multiply
    22,685.26x = 33,989.49 × 13,901.86
  4. Step 4: Simplify right side
    22,685.26x = 472,517,131.45
  5. Step 5: Solve for x
    x = 472,517,131.45/22,685.26
  6. Step 6: Final answer
    x = 20,829.26

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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.