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Finding the Fourth Proportional to 23,907.12, 35,843.40 and 12,211.44

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Solution

The fourth proportional to 23,907.12, 35,843.40 and 12,211.44 is: 18,308.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,907.12 : 35,843.40 = 12,211.44 : x
  2. Step 2: Convert to fraction form
    23,907.12/35,843.40 = 12,211.44/x
  3. Step 3: Cross multiply
    23,907.12x = 35,843.40 × 12,211.44
  4. Step 4: Simplify right side
    23,907.12x = 437,699,528.50
  5. Step 5: Solve for x
    x = 437,699,528.50/23,907.12
  6. Step 6: Final answer
    x = 18,308.33

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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.