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Finding the Fourth Proportional to 19,676.40, 29,514.60 and 10,312.80

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Solution

The fourth proportional to 19,676.40, 29,514.60 and 10,312.80 is: 15,469.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,676.40 : 29,514.60 = 10,312.80 : x
  2. Step 2: Convert to fraction form
    19,676.40/29,514.60 = 10,312.80/x
  3. Step 3: Cross multiply
    19,676.40x = 29,514.60 × 10,312.80
  4. Step 4: Simplify right side
    19,676.40x = 304,378,166.88
  5. Step 5: Solve for x
    x = 304,378,166.88/19,676.40
  6. Step 6: Final answer
    x = 15,469.20

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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.