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Finding the Fourth Proportional to 17,668.43, 24,383.99 and 9,712.20

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Solution

The fourth proportional to 17,668.43, 24,383.99 and 9,712.20 is: 13,403.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,668.43 : 24,383.99 = 9,712.20 : x
  2. Step 2: Convert to fraction form
    17,668.43/24,383.99 = 9,712.20/x
  3. Step 3: Cross multiply
    17,668.43x = 24,383.99 × 9,712.20
  4. Step 4: Simplify right side
    17,668.43x = 236,822,139.12
  5. Step 5: Solve for x
    x = 236,822,139.12/17,668.43
  6. Step 6: Final answer
    x = 13,403.69

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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.