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Finding the Fourth Proportional to 23,796, 35,694 and 9,945

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Solution

The fourth proportional to 23,796, 35,694 and 9,945 is: 14,917.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,796 : 35,694 = 9,945 : x
  2. Step 2: Convert to fraction form
    23,796/35,694 = 9,945/x
  3. Step 3: Cross multiply
    23,796x = 35,694 × 9,945
  4. Step 4: Simplify right side
    23,796x = 354,976,830
  5. Step 5: Solve for x
    x = 354,976,830/23,796
  6. Step 6: Final answer
    x = 14,917.50

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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.