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Finding the Fourth Proportional to 22,344.50, 30,835.38 and 12,272.93

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Solution

The fourth proportional to 22,344.50, 30,835.38 and 12,272.93 is: 16,936.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,344.50 : 30,835.38 = 12,272.93 : x
  2. Step 2: Convert to fraction form
    22,344.50/30,835.38 = 12,272.93/x
  3. Step 3: Cross multiply
    22,344.50x = 30,835.38 × 12,272.93
  4. Step 4: Simplify right side
    22,344.50x = 378,440,537.35
  5. Step 5: Solve for x
    x = 378,440,537.35/22,344.50
  6. Step 6: Final answer
    x = 16,936.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.