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Finding the Fourth Proportional to 12,281.96, 18,424.77 and 4,383.86

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Solution

The fourth proportional to 12,281.96, 18,424.77 and 4,383.86 is: 6,576.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,281.96 : 18,424.77 = 4,383.86 : x
  2. Step 2: Convert to fraction form
    12,281.96/18,424.77 = 4,383.86/x
  3. Step 3: Cross multiply
    12,281.96x = 18,424.77 × 4,383.86
  4. Step 4: Simplify right side
    12,281.96x = 80,771,612.21
  5. Step 5: Solve for x
    x = 80,771,612.21/12,281.96
  6. Step 6: Final answer
    x = 6,576.44

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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.