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Finding the Fourth Proportional to 21,146.40, 31,727.70 and 20,814.30

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Solution

The fourth proportional to 21,146.40, 31,727.70 and 20,814.30 is: 31,229.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,146.40 : 31,727.70 = 20,814.30 : x
  2. Step 2: Convert to fraction form
    21,146.40/31,727.70 = 20,814.30/x
  3. Step 3: Cross multiply
    21,146.40x = 31,727.70 × 20,814.30
  4. Step 4: Simplify right side
    21,146.40x = 660,389,866.11
  5. Step 5: Solve for x
    x = 660,389,866.11/21,146.40
  6. Step 6: Final answer
    x = 31,229.42

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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.