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Finding the Fourth Proportional to 16,647.35, 24,983.30 and 7,882.25

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Solution

The fourth proportional to 16,647.35, 24,983.30 and 7,882.25 is: 11,829.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,647.35 : 24,983.30 = 7,882.25 : x
  2. Step 2: Convert to fraction form
    16,647.35/24,983.30 = 7,882.25/x
  3. Step 3: Cross multiply
    16,647.35x = 24,983.30 × 7,882.25
  4. Step 4: Simplify right side
    16,647.35x = 196,924,511.21
  5. Step 5: Solve for x
    x = 196,924,511.21/16,647.35
  6. Step 6: Final answer
    x = 11,829.18

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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.