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Finding the Fourth Proportional to 22,404, 33,612.08 and 6,821.63

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Solution

The fourth proportional to 22,404, 33,612.08 and 6,821.63 is: 10,234.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,404 : 33,612.08 = 6,821.63 : x
  2. Step 2: Convert to fraction form
    22,404/33,612.08 = 6,821.63/x
  3. Step 3: Cross multiply
    22,404x = 33,612.08 × 6,821.63
  4. Step 4: Simplify right side
    22,404x = 229,288,971.12
  5. Step 5: Solve for x
    x = 229,288,971.12/22,404
  6. Step 6: Final answer
    x = 10,234.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.