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Finding the Fourth Proportional to 13,644.38, 18,830.21 and 7,676.64

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Solution

The fourth proportional to 13,644.38, 18,830.21 and 7,676.64 is: 10,594.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,644.38 : 18,830.21 = 7,676.64 : x
  2. Step 2: Convert to fraction form
    13,644.38/18,830.21 = 7,676.64/x
  3. Step 3: Cross multiply
    13,644.38x = 18,830.21 × 7,676.64
  4. Step 4: Simplify right side
    13,644.38x = 144,552,704.91
  5. Step 5: Solve for x
    x = 144,552,704.91/13,644.38
  6. Step 6: Final answer
    x = 10,594.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.