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Finding the Fourth Proportional to 29,229.12, 43,828.29 and 9,505.22

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Solution

The fourth proportional to 29,229.12, 43,828.29 and 9,505.22 is: 14,252.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,229.12 : 43,828.29 = 9,505.22 : x
  2. Step 2: Convert to fraction form
    29,229.12/43,828.29 = 9,505.22/x
  3. Step 3: Cross multiply
    29,229.12x = 43,828.29 × 9,505.22
  4. Step 4: Simplify right side
    29,229.12x = 416,597,319.53
  5. Step 5: Solve for x
    x = 416,597,319.53/29,229.12
  6. Step 6: Final answer
    x = 14,252.82

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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.