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Finding the Fourth Proportional to 23,147, 34,722.12 and 9,296

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Solution

The fourth proportional to 23,147, 34,722.12 and 9,296 is: 13,944.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,147 : 34,722.12 = 9,296 : x
  2. Step 2: Convert to fraction form
    23,147/34,722.12 = 9,296/x
  3. Step 3: Cross multiply
    23,147x = 34,722.12 × 9,296
  4. Step 4: Simplify right side
    23,147x = 322,776,827.52
  5. Step 5: Solve for x
    x = 322,776,827.52/23,147
  6. Step 6: Final answer
    x = 13,944.65

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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.