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Finding the Fourth Proportional to 20,813.70, 31,220.55 and 19,431.30

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Solution

The fourth proportional to 20,813.70, 31,220.55 and 19,431.30 is: 29,146.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,813.70 : 31,220.55 = 19,431.30 : x
  2. Step 2: Convert to fraction form
    20,813.70/31,220.55 = 19,431.30/x
  3. Step 3: Cross multiply
    20,813.70x = 31,220.55 × 19,431.30
  4. Step 4: Simplify right side
    20,813.70x = 606,655,873.22
  5. Step 5: Solve for x
    x = 606,655,873.22/20,813.70
  6. Step 6: Final answer
    x = 29,146.95

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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.