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Finding the Fourth Proportional to 22,057.77, 30,418.97 and 17,014

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Solution

The fourth proportional to 22,057.77, 30,418.97 and 17,014 is: 23,463.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,057.77 : 30,418.97 = 17,014 : x
  2. Step 2: Convert to fraction form
    22,057.77/30,418.97 = 17,014/x
  3. Step 3: Cross multiply
    22,057.77x = 30,418.97 × 17,014
  4. Step 4: Simplify right side
    22,057.77x = 517,548,355.58
  5. Step 5: Solve for x
    x = 517,548,355.58/22,057.77
  6. Step 6: Final answer
    x = 23,463.31

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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.