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Finding the Fourth Proportional to 17,186.76, 23,717.54 and 9,633.42

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Solution

The fourth proportional to 17,186.76, 23,717.54 and 9,633.42 is: 13,294.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,186.76 : 23,717.54 = 9,633.42 : x
  2. Step 2: Convert to fraction form
    17,186.76/23,717.54 = 9,633.42/x
  3. Step 3: Cross multiply
    17,186.76x = 23,717.54 × 9,633.42
  4. Step 4: Simplify right side
    17,186.76x = 228,481,024.19
  5. Step 5: Solve for x
    x = 228,481,024.19/17,186.76
  6. Step 6: Final answer
    x = 13,294.01

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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.