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Finding the Fourth Proportional to 12,025.96, 16,590.18 and 7,832.68

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Solution

The fourth proportional to 12,025.96, 16,590.18 and 7,832.68 is: 10,805.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,025.96 : 16,590.18 = 7,832.68 : x
  2. Step 2: Convert to fraction form
    12,025.96/16,590.18 = 7,832.68/x
  3. Step 3: Cross multiply
    12,025.96x = 16,590.18 × 7,832.68
  4. Step 4: Simplify right side
    12,025.96x = 129,945,571.08
  5. Step 5: Solve for x
    x = 129,945,571.08/12,025.96
  6. Step 6: Final answer
    x = 10,805.42

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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.