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Finding the Fourth Proportional to 17,011.16, 25,505.66 and 5,917

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Solution

The fourth proportional to 17,011.16, 25,505.66 and 5,917 is: 8,871.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,011.16 : 25,505.66 = 5,917 : x
  2. Step 2: Convert to fraction form
    17,011.16/25,505.66 = 5,917/x
  3. Step 3: Cross multiply
    17,011.16x = 25,505.66 × 5,917
  4. Step 4: Simplify right side
    17,011.16x = 150,916,990.22
  5. Step 5: Solve for x
    x = 150,916,990.22/17,011.16
  6. Step 6: Final answer
    x = 8,871.65

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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.