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Finding the Fourth Proportional to 15,896.39, 23,846.82 and 4,801.82

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Solution

The fourth proportional to 15,896.39, 23,846.82 and 4,801.82 is: 7,203.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,896.39 : 23,846.82 = 4,801.82 : x
  2. Step 2: Convert to fraction form
    15,896.39/23,846.82 = 4,801.82/x
  3. Step 3: Cross multiply
    15,896.39x = 23,846.82 × 4,801.82
  4. Step 4: Simplify right side
    15,896.39x = 114,508,137.21
  5. Step 5: Solve for x
    x = 114,508,137.21/15,896.39
  6. Step 6: Final answer
    x = 7,203.41

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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.