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Finding the Fourth Proportional to 16,441.25, 24,665.51 and 7,671.38

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Solution

The fourth proportional to 16,441.25, 24,665.51 and 7,671.38 is: 11,508.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,441.25 : 24,665.51 = 7,671.38 : x
  2. Step 2: Convert to fraction form
    16,441.25/24,665.51 = 7,671.38/x
  3. Step 3: Cross multiply
    16,441.25x = 24,665.51 × 7,671.38
  4. Step 4: Simplify right side
    16,441.25x = 189,218,395.95
  5. Step 5: Solve for x
    x = 189,218,395.95/16,441.25
  6. Step 6: Final answer
    x = 11,508.76

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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.