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Finding the Fourth Proportional to 13,676.40, 20,514.60 and 12,801.60

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Solution

The fourth proportional to 13,676.40, 20,514.60 and 12,801.60 is: 19,202.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,676.40 : 20,514.60 = 12,801.60 : x
  2. Step 2: Convert to fraction form
    13,676.40/20,514.60 = 12,801.60/x
  3. Step 3: Cross multiply
    13,676.40x = 20,514.60 × 12,801.60
  4. Step 4: Simplify right side
    13,676.40x = 262,619,703.36
  5. Step 5: Solve for x
    x = 262,619,703.36/13,676.40
  6. Step 6: Final answer
    x = 19,202.40

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