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Finding the Fourth Proportional to 22,559.63, 31,121.94 and 14,604.41

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Solution

The fourth proportional to 22,559.63, 31,121.94 and 14,604.41 is: 20,147.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,559.63 : 31,121.94 = 14,604.41 : x
  2. Step 2: Convert to fraction form
    22,559.63/31,121.94 = 14,604.41/x
  3. Step 3: Cross multiply
    22,559.63x = 31,121.94 × 14,604.41
  4. Step 4: Simplify right side
    22,559.63x = 454,517,649.56
  5. Step 5: Solve for x
    x = 454,517,649.56/22,559.63
  6. Step 6: Final answer
    x = 20,147.39

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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.