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Finding the Fourth Proportional to 17,642.50, 26,467.62 and 5,163.58

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Solution

The fourth proportional to 17,642.50, 26,467.62 and 5,163.58 is: 7,746.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,642.50 : 26,467.62 = 5,163.58 : x
  2. Step 2: Convert to fraction form
    17,642.50/26,467.62 = 5,163.58/x
  3. Step 3: Cross multiply
    17,642.50x = 26,467.62 × 5,163.58
  4. Step 4: Simplify right side
    17,642.50x = 136,667,673.28
  5. Step 5: Solve for x
    x = 136,667,673.28/17,642.50
  6. Step 6: Final answer
    x = 7,746.50

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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.