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Finding the Fourth Proportional to 22,013.83, 33,019.53 and 16,096.78

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Solution

The fourth proportional to 22,013.83, 33,019.53 and 16,096.78 is: 24,144.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,013.83 : 33,019.53 = 16,096.78 : x
  2. Step 2: Convert to fraction form
    22,013.83/33,019.53 = 16,096.78/x
  3. Step 3: Cross multiply
    22,013.83x = 33,019.53 × 16,096.78
  4. Step 4: Simplify right side
    22,013.83x = 531,508,110.11
  5. Step 5: Solve for x
    x = 531,508,110.11/22,013.83
  6. Step 6: Final answer
    x = 24,144.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.