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Finding the Fourth Proportional to 23,837.70, 35,762.44 and 16,831.44

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Solution

The fourth proportional to 23,837.70, 35,762.44 and 16,831.44 is: 25,251.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,837.70 : 35,762.44 = 16,831.44 : x
  2. Step 2: Convert to fraction form
    23,837.70/35,762.44 = 16,831.44/x
  3. Step 3: Cross multiply
    23,837.70x = 35,762.44 × 16,831.44
  4. Step 4: Simplify right side
    23,837.70x = 601,933,142.22
  5. Step 5: Solve for x
    x = 601,933,142.22/23,837.70
  6. Step 6: Final answer
    x = 25,251.31

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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.