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Finding the Fourth Proportional to 12,814.45, 17,680.92 and 7,778.54

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Solution

The fourth proportional to 12,814.45, 17,680.92 and 7,778.54 is: 10,732.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,814.45 : 17,680.92 = 7,778.54 : x
  2. Step 2: Convert to fraction form
    12,814.45/17,680.92 = 7,778.54/x
  3. Step 3: Cross multiply
    12,814.45x = 17,680.92 × 7,778.54
  4. Step 4: Simplify right side
    12,814.45x = 137,531,743.46
  5. Step 5: Solve for x
    x = 137,531,743.46/12,814.45
  6. Step 6: Final answer
    x = 10,732.55

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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.