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Finding the Fourth Proportional to 12,242.58, 16,893.38 and 6,936.26

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Solution

The fourth proportional to 12,242.58, 16,893.38 and 6,936.26 is: 9,571.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,242.58 : 16,893.38 = 6,936.26 : x
  2. Step 2: Convert to fraction form
    12,242.58/16,893.38 = 6,936.26/x
  3. Step 3: Cross multiply
    12,242.58x = 16,893.38 × 6,936.26
  4. Step 4: Simplify right side
    12,242.58x = 117,176,875.96
  5. Step 5: Solve for x
    x = 117,176,875.96/12,242.58
  6. Step 6: Final answer
    x = 9,571.26

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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.