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Finding the Fourth Proportional to 29,131.65, 43,698.39 and 9,410.38

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Solution

The fourth proportional to 29,131.65, 43,698.39 and 9,410.38 is: 14,115.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,131.65 : 43,698.39 = 9,410.38 : x
  2. Step 2: Convert to fraction form
    29,131.65/43,698.39 = 9,410.38/x
  3. Step 3: Cross multiply
    29,131.65x = 43,698.39 × 9,410.38
  4. Step 4: Simplify right side
    29,131.65x = 411,218,310.75
  5. Step 5: Solve for x
    x = 411,218,310.75/29,131.65
  6. Step 6: Final answer
    x = 14,115.86

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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.