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Finding the Fourth Proportional to 17,878.50, 26,817.75 and 7,490.25

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Solution

The fourth proportional to 17,878.50, 26,817.75 and 7,490.25 is: 11,235.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,878.50 : 26,817.75 = 7,490.25 : x
  2. Step 2: Convert to fraction form
    17,878.50/26,817.75 = 7,490.25/x
  3. Step 3: Cross multiply
    17,878.50x = 26,817.75 × 7,490.25
  4. Step 4: Simplify right side
    17,878.50x = 200,871,651.94
  5. Step 5: Solve for x
    x = 200,871,651.94/17,878.50
  6. Step 6: Final answer
    x = 11,235.38

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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.