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Finding the Fourth Proportional to 26,169.36, 36,095.40 and 17,214

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Solution

The fourth proportional to 26,169.36, 36,095.40 and 17,214 is: 23,743.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,169.36 : 36,095.40 = 17,214 : x
  2. Step 2: Convert to fraction form
    26,169.36/36,095.40 = 17,214/x
  3. Step 3: Cross multiply
    26,169.36x = 36,095.40 × 17,214
  4. Step 4: Simplify right side
    26,169.36x = 621,346,215.60
  5. Step 5: Solve for x
    x = 621,346,215.60/26,169.36
  6. Step 6: Final answer
    x = 23,743.27

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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.