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Finding the Fourth Proportional to 14,651.97, 20,219.61 and 8,364.33

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Solution

The fourth proportional to 14,651.97, 20,219.61 and 8,364.33 is: 11,542.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,651.97 : 20,219.61 = 8,364.33 : x
  2. Step 2: Convert to fraction form
    14,651.97/20,219.61 = 8,364.33/x
  3. Step 3: Cross multiply
    14,651.97x = 20,219.61 × 8,364.33
  4. Step 4: Simplify right side
    14,651.97x = 169,123,490.51
  5. Step 5: Solve for x
    x = 169,123,490.51/14,651.97
  6. Step 6: Final answer
    x = 11,542.71

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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.