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Finding the Fourth Proportional to 12,026.37, 16,583.61 and 8,255.01

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Solution

The fourth proportional to 12,026.37, 16,583.61 and 8,255.01 is: 11,383.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,026.37 : 16,583.61 = 8,255.01 : x
  2. Step 2: Convert to fraction form
    12,026.37/16,583.61 = 8,255.01/x
  3. Step 3: Cross multiply
    12,026.37x = 16,583.61 × 8,255.01
  4. Step 4: Simplify right side
    12,026.37x = 136,897,936.31
  5. Step 5: Solve for x
    x = 136,897,936.31/12,026.37
  6. Step 6: Final answer
    x = 11,383.14

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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.