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Finding the Fourth Proportional to 14,769.31, 20,382.86 and 8,397.90

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Solution

The fourth proportional to 14,769.31, 20,382.86 and 8,397.90 is: 11,589.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,769.31 : 20,382.86 = 8,397.90 : x
  2. Step 2: Convert to fraction form
    14,769.31/20,382.86 = 8,397.90/x
  3. Step 3: Cross multiply
    14,769.31x = 20,382.86 × 8,397.90
  4. Step 4: Simplify right side
    14,769.31x = 171,173,219.99
  5. Step 5: Solve for x
    x = 171,173,219.99/14,769.31
  6. Step 6: Final answer
    x = 11,589.79

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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.