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Finding the Fourth Proportional to 21,416.92, 29,540.10 and 13,033.96

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Solution

The fourth proportional to 21,416.92, 29,540.10 and 13,033.96 is: 17,977.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,416.92 : 29,540.10 = 13,033.96 : x
  2. Step 2: Convert to fraction form
    21,416.92/29,540.10 = 13,033.96/x
  3. Step 3: Cross multiply
    21,416.92x = 29,540.10 × 13,033.96
  4. Step 4: Simplify right side
    21,416.92x = 385,024,481.80
  5. Step 5: Solve for x
    x = 385,024,481.80/21,416.92
  6. Step 6: Final answer
    x = 17,977.58

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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.