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Finding the Fourth Proportional to 21,164.34, 31,747.26 and 8,017.68

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Solution

The fourth proportional to 21,164.34, 31,747.26 and 8,017.68 is: 12,026.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,164.34 : 31,747.26 = 8,017.68 : x
  2. Step 2: Convert to fraction form
    21,164.34/31,747.26 = 8,017.68/x
  3. Step 3: Cross multiply
    21,164.34x = 31,747.26 × 8,017.68
  4. Step 4: Simplify right side
    21,164.34x = 254,539,371.56
  5. Step 5: Solve for x
    x = 254,539,371.56/21,164.34
  6. Step 6: Final answer
    x = 12,026.80

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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.