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Finding the Fourth Proportional to 16,216.13, 24,324.39 and 5,827.88

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Solution

The fourth proportional to 16,216.13, 24,324.39 and 5,827.88 is: 8,741.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,216.13 : 24,324.39 = 5,827.88 : x
  2. Step 2: Convert to fraction form
    16,216.13/24,324.39 = 5,827.88/x
  3. Step 3: Cross multiply
    16,216.13x = 24,324.39 × 5,827.88
  4. Step 4: Simplify right side
    16,216.13x = 141,759,504.37
  5. Step 5: Solve for x
    x = 141,759,504.37/16,216.13
  6. Step 6: Final answer
    x = 8,741.89

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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.