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Finding the Fourth Proportional to 16,214.48, 24,324.24 and 6,854.54

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Solution

The fourth proportional to 16,214.48, 24,324.24 and 6,854.54 is: 10,282.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,214.48 : 24,324.24 = 6,854.54 : x
  2. Step 2: Convert to fraction form
    16,214.48/24,324.24 = 6,854.54/x
  3. Step 3: Cross multiply
    16,214.48x = 24,324.24 × 6,854.54
  4. Step 4: Simplify right side
    16,214.48x = 166,731,354.43
  5. Step 5: Solve for x
    x = 166,731,354.43/16,214.48
  6. Step 6: Final answer
    x = 10,282.87

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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.