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Finding the Fourth Proportional to 16,442.38, 24,671.66 and 7,676.02

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Solution

The fourth proportional to 16,442.38, 24,671.66 and 7,676.02 is: 11,517.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,442.38 : 24,671.66 = 7,676.02 : x
  2. Step 2: Convert to fraction form
    16,442.38/24,671.66 = 7,676.02/x
  3. Step 3: Cross multiply
    16,442.38x = 24,671.66 × 7,676.02
  4. Step 4: Simplify right side
    16,442.38x = 189,380,155.59
  5. Step 5: Solve for x
    x = 189,380,155.59/16,442.38
  6. Step 6: Final answer
    x = 11,517.81

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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.