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Finding the Fourth Proportional to 16,165.53, 24,257.39 and 6,305.49

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Solution

The fourth proportional to 16,165.53, 24,257.39 and 6,305.49 is: 9,461.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,165.53 : 24,257.39 = 6,305.49 : x
  2. Step 2: Convert to fraction form
    16,165.53/24,257.39 = 6,305.49/x
  3. Step 3: Cross multiply
    16,165.53x = 24,257.39 × 6,305.49
  4. Step 4: Simplify right side
    16,165.53x = 152,954,698.54
  5. Step 5: Solve for x
    x = 152,954,698.54/16,165.53
  6. Step 6: Final answer
    x = 9,461.78

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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.