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Finding the Fourth Proportional to 17,104.64, 23,596.80 and 11,513.60

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Solution

The fourth proportional to 17,104.64, 23,596.80 and 11,513.60 is: 15,883.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,104.64 : 23,596.80 = 11,513.60 : x
  2. Step 2: Convert to fraction form
    17,104.64/23,596.80 = 11,513.60/x
  3. Step 3: Cross multiply
    17,104.64x = 23,596.80 × 11,513.60
  4. Step 4: Simplify right side
    17,104.64x = 271,684,116.48
  5. Step 5: Solve for x
    x = 271,684,116.48/17,104.64
  6. Step 6: Final answer
    x = 15,883.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.