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Finding the Fourth Proportional to 12,201.60, 18,302.40 and 11,968.32

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Solution

The fourth proportional to 12,201.60, 18,302.40 and 11,968.32 is: 17,952.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,201.60 : 18,302.40 = 11,968.32 : x
  2. Step 2: Convert to fraction form
    12,201.60/18,302.40 = 11,968.32/x
  3. Step 3: Cross multiply
    12,201.60x = 18,302.40 × 11,968.32
  4. Step 4: Simplify right side
    12,201.60x = 219,048,979.97
  5. Step 5: Solve for x
    x = 219,048,979.97/12,201.60
  6. Step 6: Final answer
    x = 17,952.48

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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.