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Finding the Fourth Proportional to 17,902.76, 26,854.16 and 6,207.75

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Solution

The fourth proportional to 17,902.76, 26,854.16 and 6,207.75 is: 9,311.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,902.76 : 26,854.16 = 6,207.75 : x
  2. Step 2: Convert to fraction form
    17,902.76/26,854.16 = 6,207.75/x
  3. Step 3: Cross multiply
    17,902.76x = 26,854.16 × 6,207.75
  4. Step 4: Simplify right side
    17,902.76x = 166,703,880.70
  5. Step 5: Solve for x
    x = 166,703,880.70/17,902.76
  6. Step 6: Final answer
    x = 9,311.63

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Why These Related Problems?

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