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Finding the Fourth Proportional to 23,336.16, 34,991.28 and 7,745.28

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Solution

The fourth proportional to 23,336.16, 34,991.28 and 7,745.28 is: 11,613.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,336.16 : 34,991.28 = 7,745.28 : x
  2. Step 2: Convert to fraction form
    23,336.16/34,991.28 = 7,745.28/x
  3. Step 3: Cross multiply
    23,336.16x = 34,991.28 × 7,745.28
  4. Step 4: Simplify right side
    23,336.16x = 271,017,261.16
  5. Step 5: Solve for x
    x = 271,017,261.16/23,336.16
  6. Step 6: Final answer
    x = 11,613.62

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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.