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Finding the Fourth Proportional to 22,480.94, 33,716.76 and 6,686.06

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Solution

The fourth proportional to 22,480.94, 33,716.76 and 6,686.06 is: 10,027.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,480.94 : 33,716.76 = 6,686.06 : x
  2. Step 2: Convert to fraction form
    22,480.94/33,716.76 = 6,686.06/x
  3. Step 3: Cross multiply
    22,480.94x = 33,716.76 × 6,686.06
  4. Step 4: Simplify right side
    22,480.94x = 225,432,280.37
  5. Step 5: Solve for x
    x = 225,432,280.37/22,480.94
  6. Step 6: Final answer
    x = 10,027.71

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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.