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Finding the Fourth Proportional to 15,754.56, 23,634.23 and 5,363.88

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Solution

The fourth proportional to 15,754.56, 23,634.23 and 5,363.88 is: 8,046.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,754.56 : 23,634.23 = 5,363.88 : x
  2. Step 2: Convert to fraction form
    15,754.56/23,634.23 = 5,363.88/x
  3. Step 3: Cross multiply
    15,754.56x = 23,634.23 × 5,363.88
  4. Step 4: Simplify right side
    15,754.56x = 126,771,173.61
  5. Step 5: Solve for x
    x = 126,771,173.61/15,754.56
  6. Step 6: Final answer
    x = 8,046.63

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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.