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Finding the Fourth Proportional to 17,628.23, 26,444.82 and 5,149.18

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Solution

The fourth proportional to 17,628.23, 26,444.82 and 5,149.18 is: 7,724.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,628.23 : 26,444.82 = 5,149.18 : x
  2. Step 2: Convert to fraction form
    17,628.23/26,444.82 = 5,149.18/x
  3. Step 3: Cross multiply
    17,628.23x = 26,444.82 × 5,149.18
  4. Step 4: Simplify right side
    17,628.23x = 136,169,138.25
  5. Step 5: Solve for x
    x = 136,169,138.25/17,628.23
  6. Step 6: Final answer
    x = 7,724.49

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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.