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Finding the Fourth Proportional to 12,102.40, 18,175.20 and 11,713.60

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Solution

The fourth proportional to 12,102.40, 18,175.20 and 11,713.60 is: 17,591.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,102.40 : 18,175.20 = 11,713.60 : x
  2. Step 2: Convert to fraction form
    12,102.40/18,175.20 = 11,713.60/x
  3. Step 3: Cross multiply
    12,102.40x = 18,175.20 × 11,713.60
  4. Step 4: Simplify right side
    12,102.40x = 212,897,022.72
  5. Step 5: Solve for x
    x = 212,897,022.72/12,102.40
  6. Step 6: Final answer
    x = 17,591.31

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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.