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Finding the Fourth Proportional to 17,709.26, 26,563.92 and 6,023.42

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Solution

The fourth proportional to 17,709.26, 26,563.92 and 6,023.42 is: 9,035.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,709.26 : 26,563.92 = 6,023.42 : x
  2. Step 2: Convert to fraction form
    17,709.26/26,563.92 = 6,023.42/x
  3. Step 3: Cross multiply
    17,709.26x = 26,563.92 × 6,023.42
  4. Step 4: Simplify right side
    17,709.26x = 160,005,647.01
  5. Step 5: Solve for x
    x = 160,005,647.01/17,709.26
  6. Step 6: Final answer
    x = 9,035.14

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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.