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Finding the Fourth Proportional to 17,709, 26,566.39 and 5,230.29

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Solution

The fourth proportional to 17,709, 26,566.39 and 5,230.29 is: 7,846.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,709 : 26,566.39 = 5,230.29 : x
  2. Step 2: Convert to fraction form
    17,709/26,566.39 = 5,230.29/x
  3. Step 3: Cross multiply
    17,709x = 26,566.39 × 5,230.29
  4. Step 4: Simplify right side
    17,709x = 138,949,923.95
  5. Step 5: Solve for x
    x = 138,949,923.95/17,709
  6. Step 6: Final answer
    x = 7,846.29

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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.