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Finding the Fourth Proportional to 27,409.05, 41,094.14 and 11,831.13

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Solution

The fourth proportional to 27,409.05, 41,094.14 and 11,831.13 is: 17,738.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,409.05 : 41,094.14 = 11,831.13 : x
  2. Step 2: Convert to fraction form
    27,409.05/41,094.14 = 11,831.13/x
  3. Step 3: Cross multiply
    27,409.05x = 41,094.14 × 11,831.13
  4. Step 4: Simplify right side
    27,409.05x = 486,190,053.42
  5. Step 5: Solve for x
    x = 486,190,053.42/27,409.05
  6. Step 6: Final answer
    x = 17,738.30

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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.