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Finding the Fourth Proportional to 17,819.46, 26,738.40 and 7,831.22

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Solution

The fourth proportional to 17,819.46, 26,738.40 and 7,831.22 is: 11,750.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,819.46 : 26,738.40 = 7,831.22 : x
  2. Step 2: Convert to fraction form
    17,819.46/26,738.40 = 7,831.22/x
  3. Step 3: Cross multiply
    17,819.46x = 26,738.40 × 7,831.22
  4. Step 4: Simplify right side
    17,819.46x = 209,394,188.52
  5. Step 5: Solve for x
    x = 209,394,188.52/17,819.46
  6. Step 6: Final answer
    x = 11,750.87

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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.