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Finding the Fourth Proportional to 12,143.89, 16,758.30 and 6,766.32

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Solution

The fourth proportional to 12,143.89, 16,758.30 and 6,766.32 is: 9,337.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,143.89 : 16,758.30 = 6,766.32 : x
  2. Step 2: Convert to fraction form
    12,143.89/16,758.30 = 6,766.32/x
  3. Step 3: Cross multiply
    12,143.89x = 16,758.30 × 6,766.32
  4. Step 4: Simplify right side
    12,143.89x = 113,392,020.46
  5. Step 5: Solve for x
    x = 113,392,020.46/12,143.89
  6. Step 6: Final answer
    x = 9,337.37

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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.