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Finding the Fourth Proportional to 15,882.52, 23,838.06 and 8,493.30

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Solution

The fourth proportional to 15,882.52, 23,838.06 and 8,493.30 is: 12,747.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,882.52 : 23,838.06 = 8,493.30 : x
  2. Step 2: Convert to fraction form
    15,882.52/23,838.06 = 8,493.30/x
  3. Step 3: Cross multiply
    15,882.52x = 23,838.06 × 8,493.30
  4. Step 4: Simplify right side
    15,882.52x = 202,463,795.00
  5. Step 5: Solve for x
    x = 202,463,795.00/15,882.52
  6. Step 6: Final answer
    x = 12,747.59

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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.