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Finding the Fourth Proportional to 11,556.68, 17,324.46 and 4,159.44

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Solution

The fourth proportional to 11,556.68, 17,324.46 and 4,159.44 is: 6,235.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,556.68 : 17,324.46 = 4,159.44 : x
  2. Step 2: Convert to fraction form
    11,556.68/17,324.46 = 4,159.44/x
  3. Step 3: Cross multiply
    11,556.68x = 17,324.46 × 4,159.44
  4. Step 4: Simplify right side
    11,556.68x = 72,060,051.90
  5. Step 5: Solve for x
    x = 72,060,051.90/11,556.68
  6. Step 6: Final answer
    x = 6,235.36

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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.