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Finding the Fourth Proportional to 23,833.70, 35,727.32 and 11,350.38

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Solution

The fourth proportional to 23,833.70, 35,727.32 and 11,350.38 is: 17,014.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,833.70 : 35,727.32 = 11,350.38 : x
  2. Step 2: Convert to fraction form
    23,833.70/35,727.32 = 11,350.38/x
  3. Step 3: Cross multiply
    23,833.70x = 35,727.32 × 11,350.38
  4. Step 4: Simplify right side
    23,833.70x = 405,518,658.38
  5. Step 5: Solve for x
    x = 405,518,658.38/23,833.70
  6. Step 6: Final answer
    x = 17,014.51

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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.