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Finding the Fourth Proportional to 24,601.91, 36,896.03 and 6,828.48

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Solution

The fourth proportional to 24,601.91, 36,896.03 and 6,828.48 is: 10,240.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,601.91 : 36,896.03 = 6,828.48 : x
  2. Step 2: Convert to fraction form
    24,601.91/36,896.03 = 6,828.48/x
  3. Step 3: Cross multiply
    24,601.91x = 36,896.03 × 6,828.48
  4. Step 4: Simplify right side
    24,601.91x = 251,943,768.79
  5. Step 5: Solve for x
    x = 251,943,768.79/24,601.91
  6. Step 6: Final answer
    x = 10,240.82

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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.