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Finding the Fourth Proportional to 16,196.49, 24,297.30 and 5,669.46

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Solution

The fourth proportional to 16,196.49, 24,297.30 and 5,669.46 is: 8,505.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,196.49 : 24,297.30 = 5,669.46 : x
  2. Step 2: Convert to fraction form
    16,196.49/24,297.30 = 5,669.46/x
  3. Step 3: Cross multiply
    16,196.49x = 24,297.30 × 5,669.46
  4. Step 4: Simplify right side
    16,196.49x = 137,752,570.46
  5. Step 5: Solve for x
    x = 137,752,570.46/16,196.49
  6. Step 6: Final answer
    x = 8,505.09

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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.