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Finding the Fourth Proportional to 23,831.46, 35,744.44 and 6,302.66

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Solution

The fourth proportional to 23,831.46, 35,744.44 and 6,302.66 is: 9,453.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,831.46 : 35,744.44 = 6,302.66 : x
  2. Step 2: Convert to fraction form
    23,831.46/35,744.44 = 6,302.66/x
  3. Step 3: Cross multiply
    23,831.46x = 35,744.44 × 6,302.66
  4. Step 4: Simplify right side
    23,831.46x = 225,285,052.21
  5. Step 5: Solve for x
    x = 225,285,052.21/23,831.46
  6. Step 6: Final answer
    x = 9,453.26

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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.