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Finding the Fourth Proportional to 23,874.26, 35,811.75 and 8,292.26

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Solution

The fourth proportional to 23,874.26, 35,811.75 and 8,292.26 is: 12,438.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,874.26 : 35,811.75 = 8,292.26 : x
  2. Step 2: Convert to fraction form
    23,874.26/35,811.75 = 8,292.26/x
  3. Step 3: Cross multiply
    23,874.26x = 35,811.75 × 8,292.26
  4. Step 4: Simplify right side
    23,874.26x = 296,960,342.06
  5. Step 5: Solve for x
    x = 296,960,342.06/23,874.26
  6. Step 6: Final answer
    x = 12,438.52

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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.