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Finding the Fourth Proportional to 12,655.26, 17,460.23 and 8,180.42

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Solution

The fourth proportional to 12,655.26, 17,460.23 and 8,180.42 is: 11,286.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,655.26 : 17,460.23 = 8,180.42 : x
  2. Step 2: Convert to fraction form
    12,655.26/17,460.23 = 8,180.42/x
  3. Step 3: Cross multiply
    12,655.26x = 17,460.23 × 8,180.42
  4. Step 4: Simplify right side
    12,655.26x = 142,831,886.49
  5. Step 5: Solve for x
    x = 142,831,886.49/12,655.26
  6. Step 6: Final answer
    x = 11,286.37

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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.