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Finding the Fourth Proportional to 16,213.14, 22,379.70 and 9,500.94

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Solution

The fourth proportional to 16,213.14, 22,379.70 and 9,500.94 is: 13,114.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,213.14 : 22,379.70 = 9,500.94 : x
  2. Step 2: Convert to fraction form
    16,213.14/22,379.70 = 9,500.94/x
  3. Step 3: Cross multiply
    16,213.14x = 22,379.70 × 9,500.94
  4. Step 4: Simplify right side
    16,213.14x = 212,628,186.92
  5. Step 5: Solve for x
    x = 212,628,186.92/16,213.14
  6. Step 6: Final answer
    x = 13,114.56

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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.