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Finding the Fourth Proportional to 12,024.02, 16,593.99 and 7,832.27

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Solution

The fourth proportional to 12,024.02, 16,593.99 and 7,832.27 is: 10,809.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,024.02 : 16,593.99 = 7,832.27 : x
  2. Step 2: Convert to fraction form
    12,024.02/16,593.99 = 7,832.27/x
  3. Step 3: Cross multiply
    12,024.02x = 16,593.99 × 7,832.27
  4. Step 4: Simplify right side
    12,024.02x = 129,968,610.06
  5. Step 5: Solve for x
    x = 129,968,610.06/12,024.02
  6. Step 6: Final answer
    x = 10,809.08

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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.