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Finding the Fourth Proportional to 23,827.37, 35,744.67 and 7,185.24

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Solution

The fourth proportional to 23,827.37, 35,744.67 and 7,185.24 is: 10,778.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,827.37 : 35,744.67 = 7,185.24 : x
  2. Step 2: Convert to fraction form
    23,827.37/35,744.67 = 7,185.24/x
  3. Step 3: Cross multiply
    23,827.37x = 35,744.67 × 7,185.24
  4. Step 4: Simplify right side
    23,827.37x = 256,834,032.67
  5. Step 5: Solve for x
    x = 256,834,032.67/23,827.37
  6. Step 6: Final answer
    x = 10,778.95

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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.