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Finding the Fourth Proportional to 12,727.74, 19,083.94 and 5,706.49

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Solution

The fourth proportional to 12,727.74, 19,083.94 and 5,706.49 is: 8,556.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,727.74 : 19,083.94 = 5,706.49 : x
  2. Step 2: Convert to fraction form
    12,727.74/19,083.94 = 5,706.49/x
  3. Step 3: Cross multiply
    12,727.74x = 19,083.94 × 5,706.49
  4. Step 4: Simplify right side
    12,727.74x = 108,902,312.77
  5. Step 5: Solve for x
    x = 108,902,312.77/12,727.74
  6. Step 6: Final answer
    x = 8,556.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.