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Finding the Fourth Proportional to 12,845.84, 17,727.48 and 7,256.96

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Solution

The fourth proportional to 12,845.84, 17,727.48 and 7,256.96 is: 10,014.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,845.84 : 17,727.48 = 7,256.96 : x
  2. Step 2: Convert to fraction form
    12,845.84/17,727.48 = 7,256.96/x
  3. Step 3: Cross multiply
    12,845.84x = 17,727.48 × 7,256.96
  4. Step 4: Simplify right side
    12,845.84x = 128,647,613.26
  5. Step 5: Solve for x
    x = 128,647,613.26/12,845.84
  6. Step 6: Final answer
    x = 10,014.73

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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.