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Finding the Fourth Proportional to 22,846.68, 34,175.25 and 21,447

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Solution

The fourth proportional to 22,846.68, 34,175.25 and 21,447 is: 32,081.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,846.68 : 34,175.25 = 21,447 : x
  2. Step 2: Convert to fraction form
    22,846.68/34,175.25 = 21,447/x
  3. Step 3: Cross multiply
    22,846.68x = 34,175.25 × 21,447
  4. Step 4: Simplify right side
    22,846.68x = 732,956,586.75
  5. Step 5: Solve for x
    x = 732,956,586.75/22,846.68
  6. Step 6: Final answer
    x = 32,081.54

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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.