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Finding the Fourth Proportional to 12,024.14, 16,593.32 and 6,719.09

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Solution

The fourth proportional to 12,024.14, 16,593.32 and 6,719.09 is: 9,272.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,024.14 : 16,593.32 = 6,719.09 : x
  2. Step 2: Convert to fraction form
    12,024.14/16,593.32 = 6,719.09/x
  3. Step 3: Cross multiply
    12,024.14x = 16,593.32 × 6,719.09
  4. Step 4: Simplify right side
    12,024.14x = 111,491,944.31
  5. Step 5: Solve for x
    x = 111,491,944.31/12,024.14
  6. Step 6: Final answer
    x = 9,272.35

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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.