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Finding the Fourth Proportional to 23,098.26, 31,873.36 and 13,028.28

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Solution

The fourth proportional to 23,098.26, 31,873.36 and 13,028.28 is: 17,977.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,098.26 : 31,873.36 = 13,028.28 : x
  2. Step 2: Convert to fraction form
    23,098.26/31,873.36 = 13,028.28/x
  3. Step 3: Cross multiply
    23,098.26x = 31,873.36 × 13,028.28
  4. Step 4: Simplify right side
    23,098.26x = 415,255,058.62
  5. Step 5: Solve for x
    x = 415,255,058.62/23,098.26
  6. Step 6: Final answer
    x = 17,977.76

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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.