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Finding the Fourth Proportional to 26,556.70, 39,825.76 and 7,831.76

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Solution

The fourth proportional to 26,556.70, 39,825.76 and 7,831.76 is: 11,744.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,556.70 : 39,825.76 = 7,831.76 : x
  2. Step 2: Convert to fraction form
    26,556.70/39,825.76 = 7,831.76/x
  3. Step 3: Cross multiply
    26,556.70x = 39,825.76 × 7,831.76
  4. Step 4: Simplify right side
    26,556.70x = 311,905,754.98
  5. Step 5: Solve for x
    x = 311,905,754.98/26,556.70
  6. Step 6: Final answer
    x = 11,744.90

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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.