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Finding the Fourth Proportional to 23,824, 35,736 and 9,973

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Solution

The fourth proportional to 23,824, 35,736 and 9,973 is: 14,959.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,824 : 35,736 = 9,973 : x
  2. Step 2: Convert to fraction form
    23,824/35,736 = 9,973/x
  3. Step 3: Cross multiply
    23,824x = 35,736 × 9,973
  4. Step 4: Simplify right side
    23,824x = 356,395,128
  5. Step 5: Solve for x
    x = 356,395,128/23,824
  6. Step 6: Final answer
    x = 14,959.50

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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.