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Finding the Fourth Proportional to 23,978.43, 35,962.65 and 6,444.09

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Solution

The fourth proportional to 23,978.43, 35,962.65 and 6,444.09 is: 9,664.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,978.43 : 35,962.65 = 6,444.09 : x
  2. Step 2: Convert to fraction form
    23,978.43/35,962.65 = 6,444.09/x
  3. Step 3: Cross multiply
    23,978.43x = 35,962.65 × 6,444.09
  4. Step 4: Simplify right side
    23,978.43x = 231,746,553.24
  5. Step 5: Solve for x
    x = 231,746,553.24/23,978.43
  6. Step 6: Final answer
    x = 9,664.79

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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.