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Finding the Fourth Proportional to 12,170.43, 16,795.17 and 6,865.23

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Solution

The fourth proportional to 12,170.43, 16,795.17 and 6,865.23 is: 9,474.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,170.43 : 16,795.17 = 6,865.23 : x
  2. Step 2: Convert to fraction form
    12,170.43/16,795.17 = 6,865.23/x
  3. Step 3: Cross multiply
    12,170.43x = 16,795.17 × 6,865.23
  4. Step 4: Simplify right side
    12,170.43x = 115,302,704.94
  5. Step 5: Solve for x
    x = 115,302,704.94/12,170.43
  6. Step 6: Final answer
    x = 9,474.00

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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.