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Finding the Fourth Proportional to 17,090.14, 23,586.21 and 9,539.09

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Solution

The fourth proportional to 17,090.14, 23,586.21 and 9,539.09 is: 13,164.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,090.14 : 23,586.21 = 9,539.09 : x
  2. Step 2: Convert to fraction form
    17,090.14/23,586.21 = 9,539.09/x
  3. Step 3: Cross multiply
    17,090.14x = 23,586.21 × 9,539.09
  4. Step 4: Simplify right side
    17,090.14x = 224,990,979.95
  5. Step 5: Solve for x
    x = 224,990,979.95/17,090.14
  6. Step 6: Final answer
    x = 13,164.96

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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.