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Finding the Fourth Proportional to 12,785.46, 17,649.39 and 8,596.14

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Solution

The fourth proportional to 12,785.46, 17,649.39 and 8,596.14 is: 11,866.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,785.46 : 17,649.39 = 8,596.14 : x
  2. Step 2: Convert to fraction form
    12,785.46/17,649.39 = 8,596.14/x
  3. Step 3: Cross multiply
    12,785.46x = 17,649.39 × 8,596.14
  4. Step 4: Simplify right side
    12,785.46x = 151,716,627.35
  5. Step 5: Solve for x
    x = 151,716,627.35/12,785.46
  6. Step 6: Final answer
    x = 11,866.34

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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.