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Finding the Fourth Proportional to 12,675.29, 17,486.08 and 8,200.49

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Solution

The fourth proportional to 12,675.29, 17,486.08 and 8,200.49 is: 11,312.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,675.29 : 17,486.08 = 8,200.49 : x
  2. Step 2: Convert to fraction form
    12,675.29/17,486.08 = 8,200.49/x
  3. Step 3: Cross multiply
    12,675.29x = 17,486.08 × 8,200.49
  4. Step 4: Simplify right side
    12,675.29x = 143,394,414.61
  5. Step 5: Solve for x
    x = 143,394,414.61/12,675.29
  6. Step 6: Final answer
    x = 11,312.91

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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.