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Finding the Fourth Proportional to 12,406.56, 17,115.36 and 8,638.98

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Solution

The fourth proportional to 12,406.56, 17,115.36 and 8,638.98 is: 11,917.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,406.56 : 17,115.36 = 8,638.98 : x
  2. Step 2: Convert to fraction form
    12,406.56/17,115.36 = 8,638.98/x
  3. Step 3: Cross multiply
    12,406.56x = 17,115.36 × 8,638.98
  4. Step 4: Simplify right side
    12,406.56x = 147,859,252.73
  5. Step 5: Solve for x
    x = 147,859,252.73/12,406.56
  6. Step 6: Final answer
    x = 11,917.83

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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.