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Finding the Fourth Proportional to 23,581.32, 35,376.54 and 8,000.04

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Solution

The fourth proportional to 23,581.32, 35,376.54 and 8,000.04 is: 12,001.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,581.32 : 35,376.54 = 8,000.04 : x
  2. Step 2: Convert to fraction form
    23,581.32/35,376.54 = 8,000.04/x
  3. Step 3: Cross multiply
    23,581.32x = 35,376.54 × 8,000.04
  4. Step 4: Simplify right side
    23,581.32x = 283,013,735.06
  5. Step 5: Solve for x
    x = 283,013,735.06/23,581.32
  6. Step 6: Final answer
    x = 12,001.61

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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.