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Finding the Fourth Proportional to 22,372.50, 33,566.07 and 6,790.14

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Solution

The fourth proportional to 22,372.50, 33,566.07 and 6,790.14 is: 10,187.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,372.50 : 33,566.07 = 6,790.14 : x
  2. Step 2: Convert to fraction form
    22,372.50/33,566.07 = 6,790.14/x
  3. Step 3: Cross multiply
    22,372.50x = 33,566.07 × 6,790.14
  4. Step 4: Simplify right side
    22,372.50x = 227,918,314.55
  5. Step 5: Solve for x
    x = 227,918,314.55/22,372.50
  6. Step 6: Final answer
    x = 10,187.43

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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.