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Finding the Fourth Proportional to 12,912.30, 17,814.60 and 8,199.32

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Solution

The fourth proportional to 12,912.30, 17,814.60 and 8,199.32 is: 11,312.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,912.30 : 17,814.60 = 8,199.32 : x
  2. Step 2: Convert to fraction form
    12,912.30/17,814.60 = 8,199.32/x
  3. Step 3: Cross multiply
    12,912.30x = 17,814.60 × 8,199.32
  4. Step 4: Simplify right side
    12,912.30x = 146,067,517.00
  5. Step 5: Solve for x
    x = 146,067,517.00/12,912.30
  6. Step 6: Final answer
    x = 11,312.28

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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.