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Finding the Fourth Proportional to 20,403.92, 30,571.32 and 16,256.72

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Solution

The fourth proportional to 20,403.92, 30,571.32 and 16,256.72 is: 24,357.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,403.92 : 30,571.32 = 16,256.72 : x
  2. Step 2: Convert to fraction form
    20,403.92/30,571.32 = 16,256.72/x
  3. Step 3: Cross multiply
    20,403.92x = 30,571.32 × 16,256.72
  4. Step 4: Simplify right side
    20,403.92x = 496,989,389.27
  5. Step 5: Solve for x
    x = 496,989,389.27/20,403.92
  6. Step 6: Final answer
    x = 24,357.54

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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.