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Finding the Fourth Proportional to 17,142.94, 23,659.53 and 9,592.17

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Solution

The fourth proportional to 17,142.94, 23,659.53 and 9,592.17 is: 13,238.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,142.94 : 23,659.53 = 9,592.17 : x
  2. Step 2: Convert to fraction form
    17,142.94/23,659.53 = 9,592.17/x
  3. Step 3: Cross multiply
    17,142.94x = 23,659.53 × 9,592.17
  4. Step 4: Simplify right side
    17,142.94x = 226,946,233.88
  5. Step 5: Solve for x
    x = 226,946,233.88/17,142.94
  6. Step 6: Final answer
    x = 13,238.47

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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.