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Finding the Fourth Proportional to 23,161.54, 31,951.13 and 14,649.35

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Solution

The fourth proportional to 23,161.54, 31,951.13 and 14,649.35 is: 20,208.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,161.54 : 31,951.13 = 14,649.35 : x
  2. Step 2: Convert to fraction form
    23,161.54/31,951.13 = 14,649.35/x
  3. Step 3: Cross multiply
    23,161.54x = 31,951.13 × 14,649.35
  4. Step 4: Simplify right side
    23,161.54x = 468,063,286.27
  5. Step 5: Solve for x
    x = 468,063,286.27/23,161.54
  6. Step 6: Final answer
    x = 20,208.64

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