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Finding the Fourth Proportional to 20,535.83, 30,806.77 and 6,492.68

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Solution

The fourth proportional to 20,535.83, 30,806.77 and 6,492.68 is: 9,739.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,535.83 : 30,806.77 = 6,492.68 : x
  2. Step 2: Convert to fraction form
    20,535.83/30,806.77 = 6,492.68/x
  3. Step 3: Cross multiply
    20,535.83x = 30,806.77 × 6,492.68
  4. Step 4: Simplify right side
    20,535.83x = 200,018,499.44
  5. Step 5: Solve for x
    x = 200,018,499.44/20,535.83
  6. Step 6: Final answer
    x = 9,739.98

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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.