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Finding the Fourth Proportional to 22,546.82, 31,114.32 and 12,474.50

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Solution

The fourth proportional to 22,546.82, 31,114.32 and 12,474.50 is: 17,214.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,546.82 : 31,114.32 = 12,474.50 : x
  2. Step 2: Convert to fraction form
    22,546.82/31,114.32 = 12,474.50/x
  3. Step 3: Cross multiply
    22,546.82x = 31,114.32 × 12,474.50
  4. Step 4: Simplify right side
    22,546.82x = 388,135,584.84
  5. Step 5: Solve for x
    x = 388,135,584.84/22,546.82
  6. Step 6: Final answer
    x = 17,214.65

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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.