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Finding the Fourth Proportional to 29,883.21, 41,238.02 and 17,138.54

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Solution

The fourth proportional to 29,883.21, 41,238.02 and 17,138.54 is: 23,650.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,883.21 : 41,238.02 = 17,138.54 : x
  2. Step 2: Convert to fraction form
    29,883.21/41,238.02 = 17,138.54/x
  3. Step 3: Cross multiply
    29,883.21x = 41,238.02 × 17,138.54
  4. Step 4: Simplify right side
    29,883.21x = 706,759,291.95
  5. Step 5: Solve for x
    x = 706,759,291.95/29,883.21
  6. Step 6: Final answer
    x = 23,650.72

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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.