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Finding the Fourth Proportional to 21,200.67, 31,806 and 20,848.05

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Solution

The fourth proportional to 21,200.67, 31,806 and 20,848.05 is: 31,276.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,200.67 : 31,806 = 20,848.05 : x
  2. Step 2: Convert to fraction form
    21,200.67/31,806 = 20,848.05/x
  3. Step 3: Cross multiply
    21,200.67x = 31,806 × 20,848.05
  4. Step 4: Simplify right side
    21,200.67x = 663,093,078.30
  5. Step 5: Solve for x
    x = 663,093,078.30/21,200.67
  6. Step 6: Final answer
    x = 31,276.99

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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.