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Finding the Fourth Proportional to 17,609.72, 26,409 and 5,760.75

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Solution

The fourth proportional to 17,609.72, 26,409 and 5,760.75 is: 8,639.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,609.72 : 26,409 = 5,760.75 : x
  2. Step 2: Convert to fraction form
    17,609.72/26,409 = 5,760.75/x
  3. Step 3: Cross multiply
    17,609.72x = 26,409 × 5,760.75
  4. Step 4: Simplify right side
    17,609.72x = 152,135,646.75
  5. Step 5: Solve for x
    x = 152,135,646.75/17,609.72
  6. Step 6: Final answer
    x = 8,639.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.