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Finding the Fourth Proportional to 20,004.76, 27,604.96 and 11,506.44

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Solution

The fourth proportional to 20,004.76, 27,604.96 and 11,506.44 is: 15,877.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,004.76 : 27,604.96 = 11,506.44 : x
  2. Step 2: Convert to fraction form
    20,004.76/27,604.96 = 11,506.44/x
  3. Step 3: Cross multiply
    20,004.76x = 27,604.96 × 11,506.44
  4. Step 4: Simplify right side
    20,004.76x = 317,634,815.94
  5. Step 5: Solve for x
    x = 317,634,815.94/20,004.76
  6. Step 6: Final answer
    x = 15,877.96

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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.