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Finding the Fourth Proportional to 17,794.88, 24,556.54 and 9,837

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Solution

The fourth proportional to 17,794.88, 24,556.54 and 9,837 is: 13,574.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,794.88 : 24,556.54 = 9,837 : x
  2. Step 2: Convert to fraction form
    17,794.88/24,556.54 = 9,837/x
  3. Step 3: Cross multiply
    17,794.88x = 24,556.54 × 9,837
  4. Step 4: Simplify right side
    17,794.88x = 241,562,683.98
  5. Step 5: Solve for x
    x = 241,562,683.98/17,794.88
  6. Step 6: Final answer
    x = 13,574.84

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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.