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Finding the Fourth Proportional to 23,471.41, 35,212.89 and 6,831.59

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Solution

The fourth proportional to 23,471.41, 35,212.89 and 6,831.59 is: 10,249.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,471.41 : 35,212.89 = 6,831.59 : x
  2. Step 2: Convert to fraction form
    23,471.41/35,212.89 = 6,831.59/x
  3. Step 3: Cross multiply
    23,471.41x = 35,212.89 × 6,831.59
  4. Step 4: Simplify right side
    23,471.41x = 240,559,993.04
  5. Step 5: Solve for x
    x = 240,559,993.04/23,471.41
  6. Step 6: Final answer
    x = 10,249.06

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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.