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Finding the Fourth Proportional to 11,425.80, 17,138.70 and 9,676.20

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Solution

The fourth proportional to 11,425.80, 17,138.70 and 9,676.20 is: 14,514.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,425.80 : 17,138.70 = 9,676.20 : x
  2. Step 2: Convert to fraction form
    11,425.80/17,138.70 = 9,676.20/x
  3. Step 3: Cross multiply
    11,425.80x = 17,138.70 × 9,676.20
  4. Step 4: Simplify right side
    11,425.80x = 165,837,488.94
  5. Step 5: Solve for x
    x = 165,837,488.94/11,425.80
  6. Step 6: Final answer
    x = 14,514.30

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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.