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Finding the Fourth Proportional to 16,216.10, 24,324.15 and 9,638.90

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Solution

The fourth proportional to 16,216.10, 24,324.15 and 9,638.90 is: 14,458.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,216.10 : 24,324.15 = 9,638.90 : x
  2. Step 2: Convert to fraction form
    16,216.10/24,324.15 = 9,638.90/x
  3. Step 3: Cross multiply
    16,216.10x = 24,324.15 × 9,638.90
  4. Step 4: Simplify right side
    16,216.10x = 234,458,049.44
  5. Step 5: Solve for x
    x = 234,458,049.44/16,216.10
  6. Step 6: Final answer
    x = 14,458.35

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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.