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Finding the Fourth Proportional to 12,832.41, 17,707.70 and 7,166.82

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Solution

The fourth proportional to 12,832.41, 17,707.70 and 7,166.82 is: 9,889.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,832.41 : 17,707.70 = 7,166.82 : x
  2. Step 2: Convert to fraction form
    12,832.41/17,707.70 = 7,166.82/x
  3. Step 3: Cross multiply
    12,832.41x = 17,707.70 × 7,166.82
  4. Step 4: Simplify right side
    12,832.41x = 126,907,774.14
  5. Step 5: Solve for x
    x = 126,907,774.14/12,832.41
  6. Step 6: Final answer
    x = 9,889.63

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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.