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Finding the Fourth Proportional to 26,556.69, 39,825.76 and 7,831.76

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Solution

The fourth proportional to 26,556.69, 39,825.76 and 7,831.76 is: 11,744.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,556.69 : 39,825.76 = 7,831.76 : x
  2. Step 2: Convert to fraction form
    26,556.69/39,825.76 = 7,831.76/x
  3. Step 3: Cross multiply
    26,556.69x = 39,825.76 × 7,831.76
  4. Step 4: Simplify right side
    26,556.69x = 311,905,794.14
  5. Step 5: Solve for x
    x = 311,905,794.14/26,556.69
  6. Step 6: Final answer
    x = 11,744.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.