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Finding the Fourth Proportional to 21,172.26, 31,758.66 and 8,021.10

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Solution

The fourth proportional to 21,172.26, 31,758.66 and 8,021.10 is: 12,031.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,172.26 : 31,758.66 = 8,021.10 : x
  2. Step 2: Convert to fraction form
    21,172.26/31,758.66 = 8,021.10/x
  3. Step 3: Cross multiply
    21,172.26x = 31,758.66 × 8,021.10
  4. Step 4: Simplify right side
    21,172.26x = 254,739,387.73
  5. Step 5: Solve for x
    x = 254,739,387.73/21,172.26
  6. Step 6: Final answer
    x = 12,031.75

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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.