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Finding the Fourth Proportional to 12,546.66, 17,306.10 and 8,076.06

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Solution

The fourth proportional to 12,546.66, 17,306.10 and 8,076.06 is: 11,139.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,546.66 : 17,306.10 = 8,076.06 : x
  2. Step 2: Convert to fraction form
    12,546.66/17,306.10 = 8,076.06/x
  3. Step 3: Cross multiply
    12,546.66x = 17,306.10 × 8,076.06
  4. Step 4: Simplify right side
    12,546.66x = 139,765,101.97
  5. Step 5: Solve for x
    x = 139,765,101.97/12,546.66
  6. Step 6: Final answer
    x = 11,139.63

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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.