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Finding the Fourth Proportional to 12,181.34, 18,271.62 and 5,159.48

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Solution

The fourth proportional to 12,181.34, 18,271.62 and 5,159.48 is: 7,739.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,181.34 : 18,271.62 = 5,159.48 : x
  2. Step 2: Convert to fraction form
    12,181.34/18,271.62 = 5,159.48/x
  3. Step 3: Cross multiply
    12,181.34x = 18,271.62 × 5,159.48
  4. Step 4: Simplify right side
    12,181.34x = 94,272,057.96
  5. Step 5: Solve for x
    x = 94,272,057.96/12,181.34
  6. Step 6: Final answer
    x = 7,739.05

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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.