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Finding the Fourth Proportional to 15,936.81, 21,994.53 and 9,222.33

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Solution

The fourth proportional to 15,936.81, 21,994.53 and 9,222.33 is: 12,727.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,936.81 : 21,994.53 = 9,222.33 : x
  2. Step 2: Convert to fraction form
    15,936.81/21,994.53 = 9,222.33/x
  3. Step 3: Cross multiply
    15,936.81x = 21,994.53 × 9,222.33
  4. Step 4: Simplify right side
    15,936.81x = 202,840,813.85
  5. Step 5: Solve for x
    x = 202,840,813.85/15,936.81
  6. Step 6: Final answer
    x = 12,727.82

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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.