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Finding the Fourth Proportional to 12,181.41, 18,259.16 and 5,159.97

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Solution

The fourth proportional to 12,181.41, 18,259.16 and 5,159.97 is: 7,734.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,181.41 : 18,259.16 = 5,159.97 : x
  2. Step 2: Convert to fraction form
    12,181.41/18,259.16 = 5,159.97/x
  3. Step 3: Cross multiply
    12,181.41x = 18,259.16 × 5,159.97
  4. Step 4: Simplify right side
    12,181.41x = 94,216,692.03
  5. Step 5: Solve for x
    x = 94,216,692.03/12,181.41
  6. Step 6: Final answer
    x = 7,734.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.