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Finding the Fourth Proportional to 12,657.56, 17,461.82 and 8,181.69

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Solution

The fourth proportional to 12,657.56, 17,461.82 and 8,181.69 is: 11,287.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,657.56 : 17,461.82 = 8,181.69 : x
  2. Step 2: Convert to fraction form
    12,657.56/17,461.82 = 8,181.69/x
  3. Step 3: Cross multiply
    12,657.56x = 17,461.82 × 8,181.69
  4. Step 4: Simplify right side
    12,657.56x = 142,867,157.17
  5. Step 5: Solve for x
    x = 142,867,157.17/12,657.56
  6. Step 6: Final answer
    x = 11,287.11

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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.