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Finding the Fourth Proportional to 22,990.69, 31,727.46 and 13,914.64

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Solution

The fourth proportional to 22,990.69, 31,727.46 and 13,914.64 is: 19,202.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,990.69 : 31,727.46 = 13,914.64 : x
  2. Step 2: Convert to fraction form
    22,990.69/31,727.46 = 13,914.64/x
  3. Step 3: Cross multiply
    22,990.69x = 31,727.46 × 13,914.64
  4. Step 4: Simplify right side
    22,990.69x = 441,476,184.01
  5. Step 5: Solve for x
    x = 441,476,184.01/22,990.69
  6. Step 6: Final answer
    x = 19,202.39

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.