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Finding the Fourth Proportional to 12,827.96, 17,696.50 and 8,350.08

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Solution

The fourth proportional to 12,827.96, 17,696.50 and 8,350.08 is: 11,519.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,827.96 : 17,696.50 = 8,350.08 : x
  2. Step 2: Convert to fraction form
    12,827.96/17,696.50 = 8,350.08/x
  3. Step 3: Cross multiply
    12,827.96x = 17,696.50 × 8,350.08
  4. Step 4: Simplify right side
    12,827.96x = 147,767,190.72
  5. Step 5: Solve for x
    x = 147,767,190.72/12,827.96
  6. Step 6: Final answer
    x = 11,519.15

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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.