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Finding the Fourth Proportional to 20,326.86, 30,490.29 and 13,399.74

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Solution

The fourth proportional to 20,326.86, 30,490.29 and 13,399.74 is: 20,099.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,326.86 : 30,490.29 = 13,399.74 : x
  2. Step 2: Convert to fraction form
    20,326.86/30,490.29 = 13,399.74/x
  3. Step 3: Cross multiply
    20,326.86x = 30,490.29 × 13,399.74
  4. Step 4: Simplify right side
    20,326.86x = 408,561,958.52
  5. Step 5: Solve for x
    x = 408,561,958.52/20,326.86
  6. Step 6: Final answer
    x = 20,099.61

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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.