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Finding the Fourth Proportional to 20,841.72, 28,758.80 and 12,778.96

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Solution

The fourth proportional to 20,841.72, 28,758.80 and 12,778.96 is: 17,633.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,841.72 : 28,758.80 = 12,778.96 : x
  2. Step 2: Convert to fraction form
    20,841.72/28,758.80 = 12,778.96/x
  3. Step 3: Cross multiply
    20,841.72x = 28,758.80 × 12,778.96
  4. Step 4: Simplify right side
    20,841.72x = 367,507,554.85
  5. Step 5: Solve for x
    x = 367,507,554.85/20,841.72
  6. Step 6: Final answer
    x = 17,633.26

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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.