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Finding the Fourth Proportional to 12,238.63, 16,889.24 and 6,649.63

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Solution

The fourth proportional to 12,238.63, 16,889.24 and 6,649.63 is: 9,176.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,238.63 : 16,889.24 = 6,649.63 : x
  2. Step 2: Convert to fraction form
    12,238.63/16,889.24 = 6,649.63/x
  3. Step 3: Cross multiply
    12,238.63x = 16,889.24 × 6,649.63
  4. Step 4: Simplify right side
    12,238.63x = 112,307,171.38
  5. Step 5: Solve for x
    x = 112,307,171.38/12,238.63
  6. Step 6: Final answer
    x = 9,176.45

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Why These Related Problems?

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