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Finding the Fourth Proportional to 15,198.40, 22,778.16 and 11,728.32

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Solution

The fourth proportional to 15,198.40, 22,778.16 and 11,728.32 is: 17,577.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,198.40 : 22,778.16 = 11,728.32 : x
  2. Step 2: Convert to fraction form
    15,198.40/22,778.16 = 11,728.32/x
  3. Step 3: Cross multiply
    15,198.40x = 22,778.16 × 11,728.32
  4. Step 4: Simplify right side
    15,198.40x = 267,149,549.49
  5. Step 5: Solve for x
    x = 267,149,549.49/15,198.40
  6. Step 6: Final answer
    x = 17,577.48

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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.