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Finding the Fourth Proportional to 20,499, 30,745.68 and 8,010.36

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Solution

The fourth proportional to 20,499, 30,745.68 and 8,010.36 is: 12,014.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,499 : 30,745.68 = 8,010.36 : x
  2. Step 2: Convert to fraction form
    20,499/30,745.68 = 8,010.36/x
  3. Step 3: Cross multiply
    20,499x = 30,745.68 × 8,010.36
  4. Step 4: Simplify right side
    20,499x = 246,283,965.24
  5. Step 5: Solve for x
    x = 246,283,965.24/20,499
  6. Step 6: Final answer
    x = 12,014.44

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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.