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Finding the Fourth Proportional to 23,805.28, 35,695.44 and 8,219.20

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Solution

The fourth proportional to 23,805.28, 35,695.44 and 8,219.20 is: 12,324.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,805.28 : 35,695.44 = 8,219.20 : x
  2. Step 2: Convert to fraction form
    23,805.28/35,695.44 = 8,219.20/x
  3. Step 3: Cross multiply
    23,805.28x = 35,695.44 × 8,219.20
  4. Step 4: Simplify right side
    23,805.28x = 293,387,960.45
  5. Step 5: Solve for x
    x = 293,387,960.45/23,805.28
  6. Step 6: Final answer
    x = 12,324.49

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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.