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Finding the Fourth Proportional to 17,884.71, 26,808.81 and 8,021.34

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Solution

The fourth proportional to 17,884.71, 26,808.81 and 8,021.34 is: 12,023.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,884.71 : 26,808.81 = 8,021.34 : x
  2. Step 2: Convert to fraction form
    17,884.71/26,808.81 = 8,021.34/x
  3. Step 3: Cross multiply
    17,884.71x = 26,808.81 × 8,021.34
  4. Step 4: Simplify right side
    17,884.71x = 215,042,580.01
  5. Step 5: Solve for x
    x = 215,042,580.01/17,884.71
  6. Step 6: Final answer
    x = 12,023.82

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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.