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Finding the Fourth Proportional to 22,529.98, 33,795.06 and 7,743.16

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Solution

The fourth proportional to 22,529.98, 33,795.06 and 7,743.16 is: 11,614.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,529.98 : 33,795.06 = 7,743.16 : x
  2. Step 2: Convert to fraction form
    22,529.98/33,795.06 = 7,743.16/x
  3. Step 3: Cross multiply
    22,529.98x = 33,795.06 × 7,743.16
  4. Step 4: Simplify right side
    22,529.98x = 261,680,556.79
  5. Step 5: Solve for x
    x = 261,680,556.79/22,529.98
  6. Step 6: Final answer
    x = 11,614.77

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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.