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Finding the Fourth Proportional to 22,814.54, 34,213.10 and 10,965

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Solution

The fourth proportional to 22,814.54, 34,213.10 and 10,965 is: 16,443.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,814.54 : 34,213.10 = 10,965 : x
  2. Step 2: Convert to fraction form
    22,814.54/34,213.10 = 10,965/x
  3. Step 3: Cross multiply
    22,814.54x = 34,213.10 × 10,965
  4. Step 4: Simplify right side
    22,814.54x = 375,146,586.68
  5. Step 5: Solve for x
    x = 375,146,586.68/22,814.54
  6. Step 6: Final answer
    x = 16,443.32

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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.