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Finding the Fourth Proportional to 22,990.75, 31,727.30 and 13,054.75

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Solution

The fourth proportional to 22,990.75, 31,727.30 and 13,054.75 is: 18,015.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,990.75 : 31,727.30 = 13,054.75 : x
  2. Step 2: Convert to fraction form
    22,990.75/31,727.30 = 13,054.75/x
  3. Step 3: Cross multiply
    22,990.75x = 31,727.30 × 13,054.75
  4. Step 4: Simplify right side
    22,990.75x = 414,191,969.68
  5. Step 5: Solve for x
    x = 414,191,969.68/22,990.75
  6. Step 6: Final answer
    x = 18,015.59

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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.