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Finding the Fourth Proportional to 23,906.48, 35,846.20 and 9,111.28

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Solution

The fourth proportional to 23,906.48, 35,846.20 and 9,111.28 is: 13,661.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,906.48 : 35,846.20 = 9,111.28 : x
  2. Step 2: Convert to fraction form
    23,906.48/35,846.20 = 9,111.28/x
  3. Step 3: Cross multiply
    23,906.48x = 35,846.20 × 9,111.28
  4. Step 4: Simplify right side
    23,906.48x = 326,604,765.14
  5. Step 5: Solve for x
    x = 326,604,765.14/23,906.48
  6. Step 6: Final answer
    x = 13,661.77

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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.