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Finding the Fourth Proportional to 17,108.64, 23,602.32 and 11,517.60

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Solution

The fourth proportional to 17,108.64, 23,602.32 and 11,517.60 is: 15,889.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,108.64 : 23,602.32 = 11,517.60 : x
  2. Step 2: Convert to fraction form
    17,108.64/23,602.32 = 11,517.60/x
  3. Step 3: Cross multiply
    17,108.64x = 23,602.32 × 11,517.60
  4. Step 4: Simplify right side
    17,108.64x = 271,842,080.83
  5. Step 5: Solve for x
    x = 271,842,080.83/17,108.64
  6. Step 6: Final answer
    x = 15,889.17

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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.