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Finding the Fourth Proportional to 20,917.86, 31,382.93 and 8,431.47

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Solution

The fourth proportional to 20,917.86, 31,382.93 and 8,431.47 is: 12,649.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,917.86 : 31,382.93 = 8,431.47 : x
  2. Step 2: Convert to fraction form
    20,917.86/31,382.93 = 8,431.47/x
  3. Step 3: Cross multiply
    20,917.86x = 31,382.93 × 8,431.47
  4. Step 4: Simplify right side
    20,917.86x = 264,604,232.81
  5. Step 5: Solve for x
    x = 264,604,232.81/20,917.86
  6. Step 6: Final answer
    x = 12,649.68

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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.