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Finding the Fourth Proportional to 12,922.74, 17,828.91 and 7,616.43

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Solution

The fourth proportional to 12,922.74, 17,828.91 and 7,616.43 is: 10,508.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,922.74 : 17,828.91 = 7,616.43 : x
  2. Step 2: Convert to fraction form
    12,922.74/17,828.91 = 7,616.43/x
  3. Step 3: Cross multiply
    12,922.74x = 17,828.91 × 7,616.43
  4. Step 4: Simplify right side
    12,922.74x = 135,792,644.99
  5. Step 5: Solve for x
    x = 135,792,644.99/12,922.74
  6. Step 6: Final answer
    x = 10,508.04

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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.