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Finding the Fourth Proportional to 23,589.30, 35,354.79 and 11,896.14

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Solution

The fourth proportional to 23,589.30, 35,354.79 and 11,896.14 is: 17,829.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,589.30 : 35,354.79 = 11,896.14 : x
  2. Step 2: Convert to fraction form
    23,589.30/35,354.79 = 11,896.14/x
  3. Step 3: Cross multiply
    23,589.30x = 35,354.79 × 11,896.14
  4. Step 4: Simplify right side
    23,589.30x = 420,585,531.51
  5. Step 5: Solve for x
    x = 420,585,531.51/23,589.30
  6. Step 6: Final answer
    x = 17,829.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.