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Finding the Fourth Proportional to 30,396.52, 41,957.22 and 17,821

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Solution

The fourth proportional to 30,396.52, 41,957.22 and 17,821 is: 24,598.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,396.52 : 41,957.22 = 17,821 : x
  2. Step 2: Convert to fraction form
    30,396.52/41,957.22 = 17,821/x
  3. Step 3: Cross multiply
    30,396.52x = 41,957.22 × 17,821
  4. Step 4: Simplify right side
    30,396.52x = 747,719,617.62
  5. Step 5: Solve for x
    x = 747,719,617.62/30,396.52
  6. Step 6: Final answer
    x = 24,598.86

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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.