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Finding the Fourth Proportional to 22,057.45, 30,439.20 and 12,625

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Solution

The fourth proportional to 22,057.45, 30,439.20 and 12,625 is: 17,422.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,057.45 : 30,439.20 = 12,625 : x
  2. Step 2: Convert to fraction form
    22,057.45/30,439.20 = 12,625/x
  3. Step 3: Cross multiply
    22,057.45x = 30,439.20 × 12,625
  4. Step 4: Simplify right side
    22,057.45x = 384,294,900
  5. Step 5: Solve for x
    x = 384,294,900/22,057.45
  6. Step 6: Final answer
    x = 17,422.45

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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.