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Finding the Fourth Proportional to 21,177.44, 31,754.00 and 8,021.42

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Solution

The fourth proportional to 21,177.44, 31,754.00 and 8,021.42 is: 12,027.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,177.44 : 31,754.00 = 8,021.42 : x
  2. Step 2: Convert to fraction form
    21,177.44/31,754.00 = 8,021.42/x
  3. Step 3: Cross multiply
    21,177.44x = 31,754.00 × 8,021.42
  4. Step 4: Simplify right side
    21,177.44x = 254,712,031.96
  5. Step 5: Solve for x
    x = 254,712,031.96/21,177.44
  6. Step 6: Final answer
    x = 12,027.52

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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.