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Finding the Fourth Proportional to 22,662.38, 31,274.44 and 12,591.48

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Solution

The fourth proportional to 22,662.38, 31,274.44 and 12,591.48 is: 17,376.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,662.38 : 31,274.44 = 12,591.48 : x
  2. Step 2: Convert to fraction form
    22,662.38/31,274.44 = 12,591.48/x
  3. Step 3: Cross multiply
    22,662.38x = 31,274.44 × 12,591.48
  4. Step 4: Simplify right side
    22,662.38x = 393,791,485.77
  5. Step 5: Solve for x
    x = 393,791,485.77/22,662.38
  6. Step 6: Final answer
    x = 17,376.44

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Why These Related Problems?

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