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Finding the Fourth Proportional to 12,009.50, 18,014.33 and 3,801.50

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Solution

The fourth proportional to 12,009.50, 18,014.33 and 3,801.50 is: 5,702.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,009.50 : 18,014.33 = 3,801.50 : x
  2. Step 2: Convert to fraction form
    12,009.50/18,014.33 = 3,801.50/x
  3. Step 3: Cross multiply
    12,009.50x = 18,014.33 × 3,801.50
  4. Step 4: Simplify right side
    12,009.50x = 68,481,475.50
  5. Step 5: Solve for x
    x = 68,481,475.50/12,009.50
  6. Step 6: Final answer
    x = 5,702.28

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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.