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Finding the Fourth Proportional to 23,894.75, 35,840.75 and 11,423.39

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Solution

The fourth proportional to 23,894.75, 35,840.75 and 11,423.39 is: 17,134.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,894.75 : 35,840.75 = 11,423.39 : x
  2. Step 2: Convert to fraction form
    23,894.75/35,840.75 = 11,423.39/x
  3. Step 3: Cross multiply
    23,894.75x = 35,840.75 × 11,423.39
  4. Step 4: Simplify right side
    23,894.75x = 409,422,628.82
  5. Step 5: Solve for x
    x = 409,422,628.82/23,894.75
  6. Step 6: Final answer
    x = 17,134.42

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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.