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Finding the Fourth Proportional to 24,083.64, 36,097.74 and 9,286.02

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Solution

The fourth proportional to 24,083.64, 36,097.74 and 9,286.02 is: 13,918.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,083.64 : 36,097.74 = 9,286.02 : x
  2. Step 2: Convert to fraction form
    24,083.64/36,097.74 = 9,286.02/x
  3. Step 3: Cross multiply
    24,083.64x = 36,097.74 × 9,286.02
  4. Step 4: Simplify right side
    24,083.64x = 335,204,335.59
  5. Step 5: Solve for x
    x = 335,204,335.59/24,083.64
  6. Step 6: Final answer
    x = 13,918.34

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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.