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Finding the Fourth Proportional to 12,642.09, 17,442.58 and 8,166.03

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Solution

The fourth proportional to 12,642.09, 17,442.58 and 8,166.03 is: 11,266.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,642.09 : 17,442.58 = 8,166.03 : x
  2. Step 2: Convert to fraction form
    12,642.09/17,442.58 = 8,166.03/x
  3. Step 3: Cross multiply
    12,642.09x = 17,442.58 × 8,166.03
  4. Step 4: Simplify right side
    12,642.09x = 142,436,631.56
  5. Step 5: Solve for x
    x = 142,436,631.56/12,642.09
  6. Step 6: Final answer
    x = 11,266.86

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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.