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Finding the Fourth Proportional to 12,198.87, 16,823.88 and 7,948.32

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Solution

The fourth proportional to 12,198.87, 16,823.88 and 7,948.32 is: 10,961.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,198.87 : 16,823.88 = 7,948.32 : x
  2. Step 2: Convert to fraction form
    12,198.87/16,823.88 = 7,948.32/x
  3. Step 3: Cross multiply
    12,198.87x = 16,823.88 × 7,948.32
  4. Step 4: Simplify right side
    12,198.87x = 133,721,581.88
  5. Step 5: Solve for x
    x = 133,721,581.88/12,198.87
  6. Step 6: Final answer
    x = 10,961.80

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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.