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Finding the Fourth Proportional to 21,676.26, 32,514.39 and 6,094.02

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Solution

The fourth proportional to 21,676.26, 32,514.39 and 6,094.02 is: 9,141.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,676.26 : 32,514.39 = 6,094.02 : x
  2. Step 2: Convert to fraction form
    21,676.26/32,514.39 = 6,094.02/x
  3. Step 3: Cross multiply
    21,676.26x = 32,514.39 × 6,094.02
  4. Step 4: Simplify right side
    21,676.26x = 198,143,342.95
  5. Step 5: Solve for x
    x = 198,143,342.95/21,676.26
  6. Step 6: Final answer
    x = 9,141.03

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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.