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Finding the Fourth Proportional to 12,832.49, 17,709.14 and 7,166.95

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Solution

The fourth proportional to 12,832.49, 17,709.14 and 7,166.95 is: 9,890.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,832.49 : 17,709.14 = 7,166.95 : x
  2. Step 2: Convert to fraction form
    12,832.49/17,709.14 = 7,166.95/x
  3. Step 3: Cross multiply
    12,832.49x = 17,709.14 × 7,166.95
  4. Step 4: Simplify right side
    12,832.49x = 126,920,494.57
  5. Step 5: Solve for x
    x = 126,920,494.57/12,832.49
  6. Step 6: Final answer
    x = 9,890.56

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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.