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Finding the Fourth Proportional to 17,542.56, 26,316 and 5,856.96

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Solution

The fourth proportional to 17,542.56, 26,316 and 5,856.96 is: 8,786.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,542.56 : 26,316 = 5,856.96 : x
  2. Step 2: Convert to fraction form
    17,542.56/26,316 = 5,856.96/x
  3. Step 3: Cross multiply
    17,542.56x = 26,316 × 5,856.96
  4. Step 4: Simplify right side
    17,542.56x = 154,131,759.36
  5. Step 5: Solve for x
    x = 154,131,759.36/17,542.56
  6. Step 6: Final answer
    x = 8,786.16

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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.