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Finding the Fourth Proportional to 16,511.49, 24,768.04 and 6,649.43

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Solution

The fourth proportional to 16,511.49, 24,768.04 and 6,649.43 is: 9,974.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,511.49 : 24,768.04 = 6,649.43 : x
  2. Step 2: Convert to fraction form
    16,511.49/24,768.04 = 6,649.43/x
  3. Step 3: Cross multiply
    16,511.49x = 24,768.04 × 6,649.43
  4. Step 4: Simplify right side
    16,511.49x = 164,693,348.22
  5. Step 5: Solve for x
    x = 164,693,348.22/16,511.49
  6. Step 6: Final answer
    x = 9,974.47

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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.