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Finding the Fourth Proportional to 12,814.93, 17,685.84 and 7,777.99

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Solution

The fourth proportional to 12,814.93, 17,685.84 and 7,777.99 is: 10,734.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,814.93 : 17,685.84 = 7,777.99 : x
  2. Step 2: Convert to fraction form
    12,814.93/17,685.84 = 7,777.99/x
  3. Step 3: Cross multiply
    12,814.93x = 17,685.84 × 7,777.99
  4. Step 4: Simplify right side
    12,814.93x = 137,560,286.66
  5. Step 5: Solve for x
    x = 137,560,286.66/12,814.93
  6. Step 6: Final answer
    x = 10,734.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.