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Finding the Fourth Proportional to 17,467.14, 26,213.40 and 13,096.38

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Solution

The fourth proportional to 17,467.14, 26,213.40 and 13,096.38 is: 19,654.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,467.14 : 26,213.40 = 13,096.38 : x
  2. Step 2: Convert to fraction form
    17,467.14/26,213.40 = 13,096.38/x
  3. Step 3: Cross multiply
    17,467.14x = 26,213.40 × 13,096.38
  4. Step 4: Simplify right side
    17,467.14x = 343,300,647.49
  5. Step 5: Solve for x
    x = 343,300,647.49/17,467.14
  6. Step 6: Final answer
    x = 19,654.08

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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.