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Finding the Fourth Proportional to 16,274.96, 24,412.44 and 5,185.05

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Solution

The fourth proportional to 16,274.96, 24,412.44 and 5,185.05 is: 7,777.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,274.96 : 24,412.44 = 5,185.05 : x
  2. Step 2: Convert to fraction form
    16,274.96/24,412.44 = 5,185.05/x
  3. Step 3: Cross multiply
    16,274.96x = 24,412.44 × 5,185.05
  4. Step 4: Simplify right side
    16,274.96x = 126,579,722.02
  5. Step 5: Solve for x
    x = 126,579,722.02/16,274.96
  6. Step 6: Final answer
    x = 7,777.58

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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.