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Finding the Fourth Proportional to 23,238.42, 34,857.74 and 5,708.25

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Solution

The fourth proportional to 23,238.42, 34,857.74 and 5,708.25 is: 8,562.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,238.42 : 34,857.74 = 5,708.25 : x
  2. Step 2: Convert to fraction form
    23,238.42/34,857.74 = 5,708.25/x
  3. Step 3: Cross multiply
    23,238.42x = 34,857.74 × 5,708.25
  4. Step 4: Simplify right side
    23,238.42x = 198,976,491.53
  5. Step 5: Solve for x
    x = 198,976,491.53/23,238.42
  6. Step 6: Final answer
    x = 8,562.40

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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.