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Finding the Fourth Proportional to 12,169.20, 18,274.86 and 11,615.16

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Solution

The fourth proportional to 12,169.20, 18,274.86 and 11,615.16 is: 17,442.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,169.20 : 18,274.86 = 11,615.16 : x
  2. Step 2: Convert to fraction form
    12,169.20/18,274.86 = 11,615.16/x
  3. Step 3: Cross multiply
    12,169.20x = 18,274.86 × 11,615.16
  4. Step 4: Simplify right side
    12,169.20x = 212,265,422.88
  5. Step 5: Solve for x
    x = 212,265,422.88/12,169.20
  6. Step 6: Final answer
    x = 17,442.84

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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.