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Finding the Fourth Proportional to 23,811.36, 35,717.32 and 9,016.30

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Solution

The fourth proportional to 23,811.36, 35,717.32 and 9,016.30 is: 13,524.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,811.36 : 35,717.32 = 9,016.30 : x
  2. Step 2: Convert to fraction form
    23,811.36/35,717.32 = 9,016.30/x
  3. Step 3: Cross multiply
    23,811.36x = 35,717.32 × 9,016.30
  4. Step 4: Simplify right side
    23,811.36x = 322,038,072.32
  5. Step 5: Solve for x
    x = 322,038,072.32/23,811.36
  6. Step 6: Final answer
    x = 13,524.56

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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.