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Finding the Fourth Proportional to 20,588.56, 30,882.78 and 7,440.92

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Solution

The fourth proportional to 20,588.56, 30,882.78 and 7,440.92 is: 11,161.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,588.56 : 30,882.78 = 7,440.92 : x
  2. Step 2: Convert to fraction form
    20,588.56/30,882.78 = 7,440.92/x
  3. Step 3: Cross multiply
    20,588.56x = 30,882.78 × 7,440.92
  4. Step 4: Simplify right side
    20,588.56x = 229,796,295.36
  5. Step 5: Solve for x
    x = 229,796,295.36/20,588.56
  6. Step 6: Final answer
    x = 11,161.36

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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.