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Finding the Fourth Proportional to 12,178.08, 16,762.41 and 8,635.14

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Solution

The fourth proportional to 12,178.08, 16,762.41 and 8,635.14 is: 11,885.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,178.08 : 16,762.41 = 8,635.14 : x
  2. Step 2: Convert to fraction form
    12,178.08/16,762.41 = 8,635.14/x
  3. Step 3: Cross multiply
    12,178.08x = 16,762.41 × 8,635.14
  4. Step 4: Simplify right side
    12,178.08x = 144,745,757.09
  5. Step 5: Solve for x
    x = 144,745,757.09/12,178.08
  6. Step 6: Final answer
    x = 11,885.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.