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Finding the Fourth Proportional to 16,178.82, 24,277.49 and 8,783.90

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Solution

The fourth proportional to 16,178.82, 24,277.49 and 8,783.90 is: 13,180.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,178.82 : 24,277.49 = 8,783.90 : x
  2. Step 2: Convert to fraction form
    16,178.82/24,277.49 = 8,783.90/x
  3. Step 3: Cross multiply
    16,178.82x = 24,277.49 × 8,783.90
  4. Step 4: Simplify right side
    16,178.82x = 213,250,923.02
  5. Step 5: Solve for x
    x = 213,250,923.02/16,178.82
  6. Step 6: Final answer
    x = 13,180.87

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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.