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Finding the Fourth Proportional to 12,814.45, 17,685.21 and 7,778.28

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Solution

The fourth proportional to 12,814.45, 17,685.21 and 7,778.28 is: 10,734.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,814.45 : 17,685.21 = 7,778.28 : x
  2. Step 2: Convert to fraction form
    12,814.45/17,685.21 = 7,778.28/x
  3. Step 3: Cross multiply
    12,814.45x = 17,685.21 × 7,778.28
  4. Step 4: Simplify right side
    12,814.45x = 137,560,515.24
  5. Step 5: Solve for x
    x = 137,560,515.24/12,814.45
  6. Step 6: Final answer
    x = 10,734.80

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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.