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Finding the Fourth Proportional to 15,384.88, 21,231.16 and 8,311.31

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Solution

The fourth proportional to 15,384.88, 21,231.16 and 8,311.31 is: 11,469.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,384.88 : 21,231.16 = 8,311.31 : x
  2. Step 2: Convert to fraction form
    15,384.88/21,231.16 = 8,311.31/x
  3. Step 3: Cross multiply
    15,384.88x = 21,231.16 × 8,311.31
  4. Step 4: Simplify right side
    15,384.88x = 176,458,625.49
  5. Step 5: Solve for x
    x = 176,458,625.49/15,384.88
  6. Step 6: Final answer
    x = 11,469.61

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