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Finding the Fourth Proportional to 13,844.98, 20,754.51 and 7,676.02

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Solution

The fourth proportional to 13,844.98, 20,754.51 and 7,676.02 is: 11,506.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,844.98 : 20,754.51 = 7,676.02 : x
  2. Step 2: Convert to fraction form
    13,844.98/20,754.51 = 7,676.02/x
  3. Step 3: Cross multiply
    13,844.98x = 20,754.51 × 7,676.02
  4. Step 4: Simplify right side
    13,844.98x = 159,312,033.85
  5. Step 5: Solve for x
    x = 159,312,033.85/13,844.98
  6. Step 6: Final answer
    x = 11,506.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.