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Finding the Fourth Proportional to 12,000.14, 16,544.80 and 8,216.80

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Solution

The fourth proportional to 12,000.14, 16,544.80 and 8,216.80 is: 11,328.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,000.14 : 16,544.80 = 8,216.80 : x
  2. Step 2: Convert to fraction form
    12,000.14/16,544.80 = 8,216.80/x
  3. Step 3: Cross multiply
    12,000.14x = 16,544.80 × 8,216.80
  4. Step 4: Simplify right side
    12,000.14x = 135,945,312.64
  5. Step 5: Solve for x
    x = 135,945,312.64/12,000.14
  6. Step 6: Final answer
    x = 11,328.64

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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.