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Finding the Fourth Proportional to 16,349.76, 24,524.50 and 10,827.81

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Solution

The fourth proportional to 16,349.76, 24,524.50 and 10,827.81 is: 16,241.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,349.76 : 24,524.50 = 10,827.81 : x
  2. Step 2: Convert to fraction form
    16,349.76/24,524.50 = 10,827.81/x
  3. Step 3: Cross multiply
    16,349.76x = 24,524.50 × 10,827.81
  4. Step 4: Simplify right side
    16,349.76x = 265,546,589.12
  5. Step 5: Solve for x
    x = 265,546,589.12/16,349.76
  6. Step 6: Final answer
    x = 16,241.62

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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.