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Finding the Fourth Proportional to 17,773.26, 26,641.36 and 7,238.70

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Solution

The fourth proportional to 17,773.26, 26,641.36 and 7,238.70 is: 10,850.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,773.26 : 26,641.36 = 7,238.70 : x
  2. Step 2: Convert to fraction form
    17,773.26/26,641.36 = 7,238.70/x
  3. Step 3: Cross multiply
    17,773.26x = 26,641.36 × 7,238.70
  4. Step 4: Simplify right side
    17,773.26x = 192,848,812.63
  5. Step 5: Solve for x
    x = 192,848,812.63/17,773.26
  6. Step 6: Final answer
    x = 10,850.50

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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.