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Finding the Fourth Proportional to 24,021, 36,022.32 and 11,537.46

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Solution

The fourth proportional to 24,021, 36,022.32 and 11,537.46 is: 17,301.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,021 : 36,022.32 = 11,537.46 : x
  2. Step 2: Convert to fraction form
    24,021/36,022.32 = 11,537.46/x
  3. Step 3: Cross multiply
    24,021x = 36,022.32 × 11,537.46
  4. Step 4: Simplify right side
    24,021x = 415,606,076.11
  5. Step 5: Solve for x
    x = 415,606,076.11/24,021
  6. Step 6: Final answer
    x = 17,301.78

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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.