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Finding the Fourth Proportional to 12,927.60, 19,391.94 and 7,722

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Solution

The fourth proportional to 12,927.60, 19,391.94 and 7,722 is: 11,583.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,927.60 : 19,391.94 = 7,722 : x
  2. Step 2: Convert to fraction form
    12,927.60/19,391.94 = 7,722/x
  3. Step 3: Cross multiply
    12,927.60x = 19,391.94 × 7,722
  4. Step 4: Simplify right side
    12,927.60x = 149,744,560.68
  5. Step 5: Solve for x
    x = 149,744,560.68/12,927.60
  6. Step 6: Final answer
    x = 11,583.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.