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Finding the Fourth Proportional to 17,157.96, 23,678.42 and 9,604.24

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Solution

The fourth proportional to 17,157.96, 23,678.42 and 9,604.24 is: 13,254.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,157.96 : 23,678.42 = 9,604.24 : x
  2. Step 2: Convert to fraction form
    17,157.96/23,678.42 = 9,604.24/x
  3. Step 3: Cross multiply
    17,157.96x = 23,678.42 × 9,604.24
  4. Step 4: Simplify right side
    17,157.96x = 227,413,228.50
  5. Step 5: Solve for x
    x = 227,413,228.50/17,157.96
  6. Step 6: Final answer
    x = 13,254.09

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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.