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Finding the Fourth Proportional to 22,154.51, 33,153.69 and 13,838.44

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Solution

The fourth proportional to 22,154.51, 33,153.69 and 13,838.44 is: 20,708.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,154.51 : 33,153.69 = 13,838.44 : x
  2. Step 2: Convert to fraction form
    22,154.51/33,153.69 = 13,838.44/x
  3. Step 3: Cross multiply
    22,154.51x = 33,153.69 × 13,838.44
  4. Step 4: Simplify right side
    22,154.51x = 458,795,318.85
  5. Step 5: Solve for x
    x = 458,795,318.85/22,154.51
  6. Step 6: Final answer
    x = 20,708.90

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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.