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Finding the Fourth Proportional to 22,814.16, 34,224.48 and 7,233.12

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Solution

The fourth proportional to 22,814.16, 34,224.48 and 7,233.12 is: 10,850.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,814.16 : 34,224.48 = 7,233.12 : x
  2. Step 2: Convert to fraction form
    22,814.16/34,224.48 = 7,233.12/x
  3. Step 3: Cross multiply
    22,814.16x = 34,224.48 × 7,233.12
  4. Step 4: Simplify right side
    22,814.16x = 247,549,770.78
  5. Step 5: Solve for x
    x = 247,549,770.78/22,814.16
  6. Step 6: Final answer
    x = 10,850.71

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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.