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Finding the Fourth Proportional to 24,453.41, 33,745.73 and 13,846.46

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Solution

The fourth proportional to 24,453.41, 33,745.73 and 13,846.46 is: 19,108.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,453.41 : 33,745.73 = 13,846.46 : x
  2. Step 2: Convert to fraction form
    24,453.41/33,745.73 = 13,846.46/x
  3. Step 3: Cross multiply
    24,453.41x = 33,745.73 × 13,846.46
  4. Step 4: Simplify right side
    24,453.41x = 467,258,831.38
  5. Step 5: Solve for x
    x = 467,258,831.38/24,453.41
  6. Step 6: Final answer
    x = 19,108.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.