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Finding the Fourth Proportional to 26,641, 39,961.50 and 8,173

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Solution

The fourth proportional to 26,641, 39,961.50 and 8,173 is: 12,259.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,641 : 39,961.50 = 8,173 : x
  2. Step 2: Convert to fraction form
    26,641/39,961.50 = 8,173/x
  3. Step 3: Cross multiply
    26,641x = 39,961.50 × 8,173
  4. Step 4: Simplify right side
    26,641x = 326,605,339.50
  5. Step 5: Solve for x
    x = 326,605,339.50/26,641
  6. Step 6: Final answer
    x = 12,259.50

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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.