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Finding the Fourth Proportional to 12,073.96, 16,662.70 and 6,770.46

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Solution

The fourth proportional to 12,073.96, 16,662.70 and 6,770.46 is: 9,343.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,073.96 : 16,662.70 = 6,770.46 : x
  2. Step 2: Convert to fraction form
    12,073.96/16,662.70 = 6,770.46/x
  3. Step 3: Cross multiply
    12,073.96x = 16,662.70 × 6,770.46
  4. Step 4: Simplify right side
    12,073.96x = 112,814,143.84
  5. Step 5: Solve for x
    x = 112,814,143.84/12,073.96
  6. Step 6: Final answer
    x = 9,343.59

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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.