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Finding the Fourth Proportional to 17,298, 25,879.54 and 13,150

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Solution

The fourth proportional to 17,298, 25,879.54 and 13,150 is: 19,673.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,298 : 25,879.54 = 13,150 : x
  2. Step 2: Convert to fraction form
    17,298/25,879.54 = 13,150/x
  3. Step 3: Cross multiply
    17,298x = 25,879.54 × 13,150
  4. Step 4: Simplify right side
    17,298x = 340,315,951
  5. Step 5: Solve for x
    x = 340,315,951/17,298
  6. Step 6: Final answer
    x = 19,673.72

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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.