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Finding the Fourth Proportional to 23,254.48, 34,884 and 9,213.94

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Solution

The fourth proportional to 23,254.48, 34,884 and 9,213.94 is: 13,821.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,254.48 : 34,884 = 9,213.94 : x
  2. Step 2: Convert to fraction form
    23,254.48/34,884 = 9,213.94/x
  3. Step 3: Cross multiply
    23,254.48x = 34,884 × 9,213.94
  4. Step 4: Simplify right side
    23,254.48x = 321,419,082.96
  5. Step 5: Solve for x
    x = 321,419,082.96/23,254.48
  6. Step 6: Final answer
    x = 13,821.81

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Why These Related Problems?

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