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Finding the Fourth Proportional to 17,669.43, 24,383.94 and 9,711.78

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Solution

The fourth proportional to 17,669.43, 24,383.94 and 9,711.78 is: 13,402.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,669.43 : 24,383.94 = 9,711.78 : x
  2. Step 2: Convert to fraction form
    17,669.43/24,383.94 = 9,711.78/x
  3. Step 3: Cross multiply
    17,669.43x = 24,383.94 × 9,711.78
  4. Step 4: Simplify right side
    17,669.43x = 236,811,460.81
  5. Step 5: Solve for x
    x = 236,811,460.81/17,669.43
  6. Step 6: Final answer
    x = 13,402.33

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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.