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Finding the Fourth Proportional to 12,346.23, 18,514.97 and 4,446.63

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Solution

The fourth proportional to 12,346.23, 18,514.97 and 4,446.63 is: 6,668.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,346.23 : 18,514.97 = 4,446.63 : x
  2. Step 2: Convert to fraction form
    12,346.23/18,514.97 = 4,446.63/x
  3. Step 3: Cross multiply
    12,346.23x = 18,514.97 × 4,446.63
  4. Step 4: Simplify right side
    12,346.23x = 82,329,221.05
  5. Step 5: Solve for x
    x = 82,329,221.05/12,346.23
  6. Step 6: Final answer
    x = 6,668.37

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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.