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Finding the Fourth Proportional to 22,287.32, 30,755.16 and 12,213.75

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Solution

The fourth proportional to 22,287.32, 30,755.16 and 12,213.75 is: 16,854.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,287.32 : 30,755.16 = 12,213.75 : x
  2. Step 2: Convert to fraction form
    22,287.32/30,755.16 = 12,213.75/x
  3. Step 3: Cross multiply
    22,287.32x = 30,755.16 × 12,213.75
  4. Step 4: Simplify right side
    22,287.32x = 375,635,835.45
  5. Step 5: Solve for x
    x = 375,635,835.45/22,287.32
  6. Step 6: Final answer
    x = 16,854.24

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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.