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Finding the Fourth Proportional to 10,755.32, 14,857.29 and 10,229.84

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Solution

The fourth proportional to 10,755.32, 14,857.29 and 10,229.84 is: 14,131.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,755.32 : 14,857.29 = 10,229.84 : x
  2. Step 2: Convert to fraction form
    10,755.32/14,857.29 = 10,229.84/x
  3. Step 3: Cross multiply
    10,755.32x = 14,857.29 × 10,229.84
  4. Step 4: Simplify right side
    10,755.32x = 151,987,625.25
  5. Step 5: Solve for x
    x = 151,987,625.25/10,755.32
  6. Step 6: Final answer
    x = 14,131.40

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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.