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Finding the Fourth Proportional to 12,121.92, 16,724.16 and 7,084.56

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Solution

The fourth proportional to 12,121.92, 16,724.16 and 7,084.56 is: 9,774.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,121.92 : 16,724.16 = 7,084.56 : x
  2. Step 2: Convert to fraction form
    12,121.92/16,724.16 = 7,084.56/x
  3. Step 3: Cross multiply
    12,121.92x = 16,724.16 × 7,084.56
  4. Step 4: Simplify right side
    12,121.92x = 118,483,314.97
  5. Step 5: Solve for x
    x = 118,483,314.97/12,121.92
  6. Step 6: Final answer
    x = 9,774.30

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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.