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Finding the Fourth Proportional to 12,196.52, 16,832.04 and 7,418.33

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Solution

The fourth proportional to 12,196.52, 16,832.04 and 7,418.33 is: 10,237.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196.52 : 16,832.04 = 7,418.33 : x
  2. Step 2: Convert to fraction form
    12,196.52/16,832.04 = 7,418.33/x
  3. Step 3: Cross multiply
    12,196.52x = 16,832.04 × 7,418.33
  4. Step 4: Simplify right side
    12,196.52x = 124,865,627.29
  5. Step 5: Solve for x
    x = 124,865,627.29/12,196.52
  6. Step 6: Final answer
    x = 10,237.81

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