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Finding the Fourth Proportional to 22,649.41, 31,245.29 and 14,694.13

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Solution

The fourth proportional to 22,649.41, 31,245.29 and 14,694.13 is: 20,270.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,649.41 : 31,245.29 = 14,694.13 : x
  2. Step 2: Convert to fraction form
    22,649.41/31,245.29 = 14,694.13/x
  3. Step 3: Cross multiply
    22,649.41x = 31,245.29 × 14,694.13
  4. Step 4: Simplify right side
    22,649.41x = 459,122,279.68
  5. Step 5: Solve for x
    x = 459,122,279.68/22,649.41
  6. Step 6: Final answer
    x = 20,270.83

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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.