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Finding the Fourth Proportional to 16,074.67, 24,115.44 and 8,178.28

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Solution

The fourth proportional to 16,074.67, 24,115.44 and 8,178.28 is: 12,269.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,074.67 : 24,115.44 = 8,178.28 : x
  2. Step 2: Convert to fraction form
    16,074.67/24,115.44 = 8,178.28/x
  3. Step 3: Cross multiply
    16,074.67x = 24,115.44 × 8,178.28
  4. Step 4: Simplify right side
    16,074.67x = 197,222,820.64
  5. Step 5: Solve for x
    x = 197,222,820.64/16,074.67
  6. Step 6: Final answer
    x = 12,269.17

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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.