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Finding the Fourth Proportional to 21,142.62, 31,713.84 and 5,347.80

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Solution

The fourth proportional to 21,142.62, 31,713.84 and 5,347.80 is: 8,021.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,142.62 : 31,713.84 = 5,347.80 : x
  2. Step 2: Convert to fraction form
    21,142.62/31,713.84 = 5,347.80/x
  3. Step 3: Cross multiply
    21,142.62x = 31,713.84 × 5,347.80
  4. Step 4: Simplify right side
    21,142.62x = 169,599,273.55
  5. Step 5: Solve for x
    x = 169,599,273.55/21,142.62
  6. Step 6: Final answer
    x = 8,021.68

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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.