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Finding the Fourth Proportional to 22,861.56, 34,296 and 9,714

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Solution

The fourth proportional to 22,861.56, 34,296 and 9,714 is: 14,572.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,861.56 : 34,296 = 9,714 : x
  2. Step 2: Convert to fraction form
    22,861.56/34,296 = 9,714/x
  3. Step 3: Cross multiply
    22,861.56x = 34,296 × 9,714
  4. Step 4: Simplify right side
    22,861.56x = 333,151,344
  5. Step 5: Solve for x
    x = 333,151,344/22,861.56
  6. Step 6: Final answer
    x = 14,572.56

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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.