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Finding the Fourth Proportional to 12,674.53, 17,484.78 and 8,199.69

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Solution

The fourth proportional to 12,674.53, 17,484.78 and 8,199.69 is: 11,311.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,674.53 : 17,484.78 = 8,199.69 : x
  2. Step 2: Convert to fraction form
    12,674.53/17,484.78 = 8,199.69/x
  3. Step 3: Cross multiply
    12,674.53x = 17,484.78 × 8,199.69
  4. Step 4: Simplify right side
    12,674.53x = 143,369,694.78
  5. Step 5: Solve for x
    x = 143,369,694.78/12,674.53
  6. Step 6: Final answer
    x = 11,311.64

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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.