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Finding the Fourth Proportional to 12,198.95, 16,829.57 and 8,221.35

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Solution

The fourth proportional to 12,198.95, 16,829.57 and 8,221.35 is: 11,342.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,198.95 : 16,829.57 = 8,221.35 : x
  2. Step 2: Convert to fraction form
    12,198.95/16,829.57 = 8,221.35/x
  3. Step 3: Cross multiply
    12,198.95x = 16,829.57 × 8,221.35
  4. Step 4: Simplify right side
    12,198.95x = 138,361,774.32
  5. Step 5: Solve for x
    x = 138,361,774.32/12,198.95
  6. Step 6: Final answer
    x = 11,342.10

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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.