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Finding the Fourth Proportional to 23,153.45, 31,940.01 and 14,641.22

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Solution

The fourth proportional to 23,153.45, 31,940.01 and 14,641.22 is: 20,197.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,153.45 : 31,940.01 = 14,641.22 : x
  2. Step 2: Convert to fraction form
    23,153.45/31,940.01 = 14,641.22/x
  3. Step 3: Cross multiply
    23,153.45x = 31,940.01 × 14,641.22
  4. Step 4: Simplify right side
    23,153.45x = 467,640,793.06
  5. Step 5: Solve for x
    x = 467,640,793.06/23,153.45
  6. Step 6: Final answer
    x = 20,197.46

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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.