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Finding the Fourth Proportional to 23,824.25, 35,736.38 and 9,973.25

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Solution

The fourth proportional to 23,824.25, 35,736.38 and 9,973.25 is: 14,959.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,824.25 : 35,736.38 = 9,973.25 : x
  2. Step 2: Convert to fraction form
    23,824.25/35,736.38 = 9,973.25/x
  3. Step 3: Cross multiply
    23,824.25x = 35,736.38 × 9,973.25
  4. Step 4: Simplify right side
    23,824.25x = 356,407,801.97
  5. Step 5: Solve for x
    x = 356,407,801.97/23,824.25
  6. Step 6: Final answer
    x = 14,959.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.