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Finding the Fourth Proportional to 20,327.76, 30,491.64 and 13,400.64

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Solution

The fourth proportional to 20,327.76, 30,491.64 and 13,400.64 is: 20,100.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,327.76 : 30,491.64 = 13,400.64 : x
  2. Step 2: Convert to fraction form
    20,327.76/30,491.64 = 13,400.64/x
  3. Step 3: Cross multiply
    20,327.76x = 30,491.64 × 13,400.64
  4. Step 4: Simplify right side
    20,327.76x = 408,607,490.65
  5. Step 5: Solve for x
    x = 408,607,490.65/20,327.76
  6. Step 6: Final answer
    x = 20,100.96

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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.