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Finding the Fourth Proportional to 12,914.88, 17,821.92 and 7,945.92

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Solution

The fourth proportional to 12,914.88, 17,821.92 and 7,945.92 is: 10,964.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,914.88 : 17,821.92 = 7,945.92 : x
  2. Step 2: Convert to fraction form
    12,914.88/17,821.92 = 7,945.92/x
  3. Step 3: Cross multiply
    12,914.88x = 17,821.92 × 7,945.92
  4. Step 4: Simplify right side
    12,914.88x = 141,611,550.57
  5. Step 5: Solve for x
    x = 141,611,550.57/12,914.88
  6. Step 6: Final answer
    x = 10,964.99

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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.