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Finding the Fourth Proportional to 17,628.57, 26,445.32 and 5,149.50

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Solution

The fourth proportional to 17,628.57, 26,445.32 and 5,149.50 is: 7,724.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,628.57 : 26,445.32 = 5,149.50 : x
  2. Step 2: Convert to fraction form
    17,628.57/26,445.32 = 5,149.50/x
  3. Step 3: Cross multiply
    17,628.57x = 26,445.32 × 5,149.50
  4. Step 4: Simplify right side
    17,628.57x = 136,180,175.34
  5. Step 5: Solve for x
    x = 136,180,175.34/17,628.57
  6. Step 6: Final answer
    x = 7,724.97

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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.