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Finding the Fourth Proportional to 12,021.89, 16,590.22 and 6,716.84

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Solution

The fourth proportional to 12,021.89, 16,590.22 and 6,716.84 is: 9,269.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,021.89 : 16,590.22 = 6,716.84 : x
  2. Step 2: Convert to fraction form
    12,021.89/16,590.22 = 6,716.84/x
  3. Step 3: Cross multiply
    12,021.89x = 16,590.22 × 6,716.84
  4. Step 4: Simplify right side
    12,021.89x = 111,433,753.56
  5. Step 5: Solve for x
    x = 111,433,753.56/12,021.89
  6. Step 6: Final answer
    x = 9,269.24

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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.