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Finding the Fourth Proportional to 16,021.89, 22,110.08 and 9,311.45

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Solution

The fourth proportional to 16,021.89, 22,110.08 and 9,311.45 is: 12,849.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,021.89 : 22,110.08 = 9,311.45 : x
  2. Step 2: Convert to fraction form
    16,021.89/22,110.08 = 9,311.45/x
  3. Step 3: Cross multiply
    16,021.89x = 22,110.08 × 9,311.45
  4. Step 4: Simplify right side
    16,021.89x = 205,876,817.14
  5. Step 5: Solve for x
    x = 205,876,817.14/16,021.89
  6. Step 6: Final answer
    x = 12,849.72

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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.