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Finding the Fourth Proportional to 12,851.27, 17,733.77 and 7,814.80

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Solution

The fourth proportional to 12,851.27, 17,733.77 and 7,814.80 is: 10,783.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,851.27 : 17,733.77 = 7,814.80 : x
  2. Step 2: Convert to fraction form
    12,851.27/17,733.77 = 7,814.80/x
  3. Step 3: Cross multiply
    12,851.27x = 17,733.77 × 7,814.80
  4. Step 4: Simplify right side
    12,851.27x = 138,585,777.13
  5. Step 5: Solve for x
    x = 138,585,777.13/12,851.27
  6. Step 6: Final answer
    x = 10,783.82

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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.