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Finding the Fourth Proportional to 23,076.50, 34,604.01 and 8,281.44

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Solution

The fourth proportional to 23,076.50, 34,604.01 and 8,281.44 is: 12,418.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,076.50 : 34,604.01 = 8,281.44 : x
  2. Step 2: Convert to fraction form
    23,076.50/34,604.01 = 8,281.44/x
  3. Step 3: Cross multiply
    23,076.50x = 34,604.01 × 8,281.44
  4. Step 4: Simplify right side
    23,076.50x = 286,571,032.57
  5. Step 5: Solve for x
    x = 286,571,032.57/23,076.50
  6. Step 6: Final answer
    x = 12,418.31

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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.