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Finding the Fourth Proportional to 14,442.67, 21,646.12 and 8,183.72

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Solution

The fourth proportional to 14,442.67, 21,646.12 and 8,183.72 is: 12,265.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,442.67 : 21,646.12 = 8,183.72 : x
  2. Step 2: Convert to fraction form
    14,442.67/21,646.12 = 8,183.72/x
  3. Step 3: Cross multiply
    14,442.67x = 21,646.12 × 8,183.72
  4. Step 4: Simplify right side
    14,442.67x = 177,145,712.41
  5. Step 5: Solve for x
    x = 177,145,712.41/14,442.67
  6. Step 6: Final answer
    x = 12,265.44

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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.