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Finding the Fourth Proportional to 23,864.63, 35,797.82 and 7,226.01

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Solution

The fourth proportional to 23,864.63, 35,797.82 and 7,226.01 is: 10,839.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,864.63 : 35,797.82 = 7,226.01 : x
  2. Step 2: Convert to fraction form
    23,864.63/35,797.82 = 7,226.01/x
  3. Step 3: Cross multiply
    23,864.63x = 35,797.82 × 7,226.01
  4. Step 4: Simplify right side
    23,864.63x = 258,675,369.17
  5. Step 5: Solve for x
    x = 258,675,369.17/23,864.63
  6. Step 6: Final answer
    x = 10,839.28

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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.