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Finding the Fourth Proportional to 21,964.78, 30,311.54 and 12,274.24

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Solution

The fourth proportional to 21,964.78, 30,311.54 and 12,274.24 is: 16,938.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,964.78 : 30,311.54 = 12,274.24 : x
  2. Step 2: Convert to fraction form
    21,964.78/30,311.54 = 12,274.24/x
  3. Step 3: Cross multiply
    21,964.78x = 30,311.54 × 12,274.24
  4. Step 4: Simplify right side
    21,964.78x = 372,051,116.73
  5. Step 5: Solve for x
    x = 372,051,116.73/21,964.78
  6. Step 6: Final answer
    x = 16,938.53

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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.