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Finding the Fourth Proportional to 20,431.84, 30,625.96 and 11,647.84

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Solution

The fourth proportional to 20,431.84, 30,625.96 and 11,647.84 is: 17,459.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,431.84 : 30,625.96 = 11,647.84 : x
  2. Step 2: Convert to fraction form
    20,431.84/30,625.96 = 11,647.84/x
  3. Step 3: Cross multiply
    20,431.84x = 30,625.96 × 11,647.84
  4. Step 4: Simplify right side
    20,431.84x = 356,726,281.93
  5. Step 5: Solve for x
    x = 356,726,281.93/20,431.84
  6. Step 6: Final answer
    x = 17,459.33

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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.