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Finding the Fourth Proportional to 14,773.86, 20,382.78 and 9,471.60

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Solution

The fourth proportional to 14,773.86, 20,382.78 and 9,471.60 is: 13,067.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,773.86 : 20,382.78 = 9,471.60 : x
  2. Step 2: Convert to fraction form
    14,773.86/20,382.78 = 9,471.60/x
  3. Step 3: Cross multiply
    14,773.86x = 20,382.78 × 9,471.60
  4. Step 4: Simplify right side
    14,773.86x = 193,057,539.05
  5. Step 5: Solve for x
    x = 193,057,539.05/14,773.86
  6. Step 6: Final answer
    x = 13,067.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.