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Finding the Fourth Proportional to 12,196.08, 16,840.80 and 8,230.32

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Solution

The fourth proportional to 12,196.08, 16,840.80 and 8,230.32 is: 11,364.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196.08 : 16,840.80 = 8,230.32 : x
  2. Step 2: Convert to fraction form
    12,196.08/16,840.80 = 8,230.32/x
  3. Step 3: Cross multiply
    12,196.08x = 16,840.80 × 8,230.32
  4. Step 4: Simplify right side
    12,196.08x = 138,605,173.06
  5. Step 5: Solve for x
    x = 138,605,173.06/12,196.08
  6. Step 6: Final answer
    x = 11,364.73

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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.