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Finding the Fourth Proportional to 12,766.98, 17,606.06 and 8,518.21

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Solution

The fourth proportional to 12,766.98, 17,606.06 and 8,518.21 is: 11,746.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,766.98 : 17,606.06 = 8,518.21 : x
  2. Step 2: Convert to fraction form
    12,766.98/17,606.06 = 8,518.21/x
  3. Step 3: Cross multiply
    12,766.98x = 17,606.06 × 8,518.21
  4. Step 4: Simplify right side
    12,766.98x = 149,972,073.76
  5. Step 5: Solve for x
    x = 149,972,073.76/12,766.98
  6. Step 6: Final answer
    x = 11,746.88

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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.