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Finding the Fourth Proportional to 12,556.42, 17,334.71 and 8,583.37

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Solution

The fourth proportional to 12,556.42, 17,334.71 and 8,583.37 is: 11,849.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,556.42 : 17,334.71 = 8,583.37 : x
  2. Step 2: Convert to fraction form
    12,556.42/17,334.71 = 8,583.37/x
  3. Step 3: Cross multiply
    12,556.42x = 17,334.71 × 8,583.37
  4. Step 4: Simplify right side
    12,556.42x = 148,790,175.71
  5. Step 5: Solve for x
    x = 148,790,175.71/12,556.42
  6. Step 6: Final answer
    x = 11,849.73

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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.