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Finding the Fourth Proportional to 23,057.84, 34,600.51 and 11,964.44

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Solution

The fourth proportional to 23,057.84, 34,600.51 and 11,964.44 is: 17,953.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,057.84 : 34,600.51 = 11,964.44 : x
  2. Step 2: Convert to fraction form
    23,057.84/34,600.51 = 11,964.44/x
  3. Step 3: Cross multiply
    23,057.84x = 34,600.51 × 11,964.44
  4. Step 4: Simplify right side
    23,057.84x = 413,975,522.95
  5. Step 5: Solve for x
    x = 413,975,522.95/23,057.84
  6. Step 6: Final answer
    x = 17,953.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.