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Finding the Fourth Proportional to 14,922.57, 20,593.23 and 8,208.63

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Solution

The fourth proportional to 14,922.57, 20,593.23 and 8,208.63 is: 11,327.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,922.57 : 20,593.23 = 8,208.63 : x
  2. Step 2: Convert to fraction form
    14,922.57/20,593.23 = 8,208.63/x
  3. Step 3: Cross multiply
    14,922.57x = 20,593.23 × 8,208.63
  4. Step 4: Simplify right side
    14,922.57x = 169,042,205.57
  5. Step 5: Solve for x
    x = 169,042,205.57/14,922.57
  6. Step 6: Final answer
    x = 11,327.96

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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.