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Finding the Fourth Proportional to 23,443.24, 35,168.52 and 7,857.24

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Solution

The fourth proportional to 23,443.24, 35,168.52 and 7,857.24 is: 11,787.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,443.24 : 35,168.52 = 7,857.24 : x
  2. Step 2: Convert to fraction form
    23,443.24/35,168.52 = 7,857.24/x
  3. Step 3: Cross multiply
    23,443.24x = 35,168.52 × 7,857.24
  4. Step 4: Simplify right side
    23,443.24x = 276,327,502.08
  5. Step 5: Solve for x
    x = 276,327,502.08/23,443.24
  6. Step 6: Final answer
    x = 11,787.09

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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.