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Finding the Fourth Proportional to 15,922.40, 21,976.38 and 9,957.96

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Solution

The fourth proportional to 15,922.40, 21,976.38 and 9,957.96 is: 13,744.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,922.40 : 21,976.38 = 9,957.96 : x
  2. Step 2: Convert to fraction form
    15,922.40/21,976.38 = 9,957.96/x
  3. Step 3: Cross multiply
    15,922.40x = 21,976.38 × 9,957.96
  4. Step 4: Simplify right side
    15,922.40x = 218,839,912.98
  5. Step 5: Solve for x
    x = 218,839,912.98/15,922.40
  6. Step 6: Final answer
    x = 13,744.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.