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Finding the Fourth Proportional to 20,841.34, 28,760.97 and 11,410.06

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Solution

The fourth proportional to 20,841.34, 28,760.97 and 11,410.06 is: 15,745.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,841.34 : 28,760.97 = 11,410.06 : x
  2. Step 2: Convert to fraction form
    20,841.34/28,760.97 = 11,410.06/x
  3. Step 3: Cross multiply
    20,841.34x = 28,760.97 × 11,410.06
  4. Step 4: Simplify right side
    20,841.34x = 328,164,393.36
  5. Step 5: Solve for x
    x = 328,164,393.36/20,841.34
  6. Step 6: Final answer
    x = 15,745.84

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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.