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Finding the Fourth Proportional to 22,234.88, 30,685.56 and 12,803.24

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Solution

The fourth proportional to 22,234.88, 30,685.56 and 12,803.24 is: 17,669.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,234.88 : 30,685.56 = 12,803.24 : x
  2. Step 2: Convert to fraction form
    22,234.88/30,685.56 = 12,803.24/x
  3. Step 3: Cross multiply
    22,234.88x = 30,685.56 × 12,803.24
  4. Step 4: Simplify right side
    22,234.88x = 392,874,589.21
  5. Step 5: Solve for x
    x = 392,874,589.21/22,234.88
  6. Step 6: Final answer
    x = 17,669.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.