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Finding the Fourth Proportional to 26,812.46, 40,223.93 and 8,094.02

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Solution

The fourth proportional to 26,812.46, 40,223.93 and 8,094.02 is: 12,142.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,812.46 : 40,223.93 = 8,094.02 : x
  2. Step 2: Convert to fraction form
    26,812.46/40,223.93 = 8,094.02/x
  3. Step 3: Cross multiply
    26,812.46x = 40,223.93 × 8,094.02
  4. Step 4: Simplify right side
    26,812.46x = 325,573,052.31
  5. Step 5: Solve for x
    x = 325,573,052.31/26,812.46
  6. Step 6: Final answer
    x = 12,142.61

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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.