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Finding the Fourth Proportional to 12,024.41, 16,593.73 and 6,991.58

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Solution

The fourth proportional to 12,024.41, 16,593.73 and 6,991.58 is: 9,648.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,024.41 : 16,593.73 = 6,991.58 : x
  2. Step 2: Convert to fraction form
    12,024.41/16,593.73 = 6,991.58/x
  3. Step 3: Cross multiply
    12,024.41x = 16,593.73 × 6,991.58
  4. Step 4: Simplify right side
    12,024.41x = 116,016,414.80
  5. Step 5: Solve for x
    x = 116,016,414.80/12,024.41
  6. Step 6: Final answer
    x = 9,648.41

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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.