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Finding the Fourth Proportional to 13,523.39, 18,668.03 and 8,219.91

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Solution

The fourth proportional to 13,523.39, 18,668.03 and 8,219.91 is: 11,346.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,523.39 : 18,668.03 = 8,219.91 : x
  2. Step 2: Convert to fraction form
    13,523.39/18,668.03 = 8,219.91/x
  3. Step 3: Cross multiply
    13,523.39x = 18,668.03 × 8,219.91
  4. Step 4: Simplify right side
    13,523.39x = 153,449,526.48
  5. Step 5: Solve for x
    x = 153,449,526.48/13,523.39
  6. Step 6: Final answer
    x = 11,346.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.