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Finding the Fourth Proportional to 12,346.26, 18,519.38 and 4,138.26

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Solution

The fourth proportional to 12,346.26, 18,519.38 and 4,138.26 is: 6,207.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,346.26 : 18,519.38 = 4,138.26 : x
  2. Step 2: Convert to fraction form
    12,346.26/18,519.38 = 4,138.26/x
  3. Step 3: Cross multiply
    12,346.26x = 18,519.38 × 4,138.26
  4. Step 4: Simplify right side
    12,346.26x = 76,638,009.48
  5. Step 5: Solve for x
    x = 76,638,009.48/12,346.26
  6. Step 6: Final answer
    x = 6,207.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.