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Finding the Fourth Proportional to 21,676.47, 32,514.70 and 6,094.09

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Solution

The fourth proportional to 21,676.47, 32,514.70 and 6,094.09 is: 9,141.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,676.47 : 32,514.70 = 6,094.09 : x
  2. Step 2: Convert to fraction form
    21,676.47/32,514.70 = 6,094.09/x
  3. Step 3: Cross multiply
    21,676.47x = 32,514.70 × 6,094.09
  4. Step 4: Simplify right side
    21,676.47x = 198,147,477.65
  5. Step 5: Solve for x
    x = 198,147,477.65/21,676.47
  6. Step 6: Final answer
    x = 9,141.13

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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.