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Finding the Fourth Proportional to 23,825.91, 32,879.93 and 13,216.23

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Solution

The fourth proportional to 23,825.91, 32,879.93 and 13,216.23 is: 18,238.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,825.91 : 32,879.93 = 13,216.23 : x
  2. Step 2: Convert to fraction form
    23,825.91/32,879.93 = 13,216.23/x
  3. Step 3: Cross multiply
    23,825.91x = 32,879.93 × 13,216.23
  4. Step 4: Simplify right side
    23,825.91x = 434,548,651.18
  5. Step 5: Solve for x
    x = 434,548,651.18/23,825.91
  6. Step 6: Final answer
    x = 18,238.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.