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Finding the Fourth Proportional to 24,057, 33,198.66 and 13,446.41

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Solution

The fourth proportional to 24,057, 33,198.66 and 13,446.41 is: 18,556.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,057 : 33,198.66 = 13,446.41 : x
  2. Step 2: Convert to fraction form
    24,057/33,198.66 = 13,446.41/x
  3. Step 3: Cross multiply
    24,057x = 33,198.66 × 13,446.41
  4. Step 4: Simplify right side
    24,057x = 446,402,627.82
  5. Step 5: Solve for x
    x = 446,402,627.82/24,057
  6. Step 6: Final answer
    x = 18,556.04

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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.