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Finding the Fourth Proportional to 23,896.97, 35,845.50 and 9,864.98

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Solution

The fourth proportional to 23,896.97, 35,845.50 and 9,864.98 is: 14,797.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,896.97 : 35,845.50 = 9,864.98 : x
  2. Step 2: Convert to fraction form
    23,896.97/35,845.50 = 9,864.98/x
  3. Step 3: Cross multiply
    23,896.97x = 35,845.50 × 9,864.98
  4. Step 4: Simplify right side
    23,896.97x = 353,615,140.59
  5. Step 5: Solve for x
    x = 353,615,140.59/23,896.97
  6. Step 6: Final answer
    x = 14,797.49

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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.