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Finding the Fourth Proportional to 17,377.21, 23,980.26 and 9,823.42

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Solution

The fourth proportional to 17,377.21, 23,980.26 and 9,823.42 is: 13,556.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,377.21 : 23,980.26 = 9,823.42 : x
  2. Step 2: Convert to fraction form
    17,377.21/23,980.26 = 9,823.42/x
  3. Step 3: Cross multiply
    17,377.21x = 23,980.26 × 9,823.42
  4. Step 4: Simplify right side
    17,377.21x = 235,568,165.69
  5. Step 5: Solve for x
    x = 235,568,165.69/17,377.21
  6. Step 6: Final answer
    x = 13,556.16

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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.