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Finding the Fourth Proportional to 12,166.48, 16,797.96 and 7,981.84

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Solution

The fourth proportional to 12,166.48, 16,797.96 and 7,981.84 is: 11,020.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,166.48 : 16,797.96 = 7,981.84 : x
  2. Step 2: Convert to fraction form
    12,166.48/16,797.96 = 7,981.84/x
  3. Step 3: Cross multiply
    12,166.48x = 16,797.96 × 7,981.84
  4. Step 4: Simplify right side
    12,166.48x = 134,078,629.05
  5. Step 5: Solve for x
    x = 134,078,629.05/12,166.48
  6. Step 6: Final answer
    x = 11,020.33

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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.