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Finding the Fourth Proportional to 23,876.26, 35,814.75 and 8,294.26

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Solution

The fourth proportional to 23,876.26, 35,814.75 and 8,294.26 is: 12,441.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,876.26 : 35,814.75 = 8,294.26 : x
  2. Step 2: Convert to fraction form
    23,876.26/35,814.75 = 8,294.26/x
  3. Step 3: Cross multiply
    23,876.26x = 35,814.75 × 8,294.26
  4. Step 4: Simplify right side
    23,876.26x = 297,056,848.34
  5. Step 5: Solve for x
    x = 297,056,848.34/23,876.26
  6. Step 6: Final answer
    x = 12,441.52

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1.5x scale

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.