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Finding the Fourth Proportional to 17,197.49, 23,731.70 and 9,644.64

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Solution

The fourth proportional to 17,197.49, 23,731.70 and 9,644.64 is: 13,309.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,197.49 : 23,731.70 = 9,644.64 : x
  2. Step 2: Convert to fraction form
    17,197.49/23,731.70 = 9,644.64/x
  3. Step 3: Cross multiply
    17,197.49x = 23,731.70 × 9,644.64
  4. Step 4: Simplify right side
    17,197.49x = 228,883,654.86
  5. Step 5: Solve for x
    x = 228,883,654.86/17,197.49
  6. Step 6: Final answer
    x = 13,309.14

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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.