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Finding the Fourth Proportional to 17,721, 24,454.98 and 11,097

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Solution

The fourth proportional to 17,721, 24,454.98 and 11,097 is: 15,313.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,721 : 24,454.98 = 11,097 : x
  2. Step 2: Convert to fraction form
    17,721/24,454.98 = 11,097/x
  3. Step 3: Cross multiply
    17,721x = 24,454.98 × 11,097
  4. Step 4: Simplify right side
    17,721x = 271,376,913.06
  5. Step 5: Solve for x
    x = 271,376,913.06/17,721
  6. Step 6: Final answer
    x = 15,313.86

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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.