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Finding the Fourth Proportional to 23,832.59, 35,725.64 and 11,349.26

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Solution

The fourth proportional to 23,832.59, 35,725.64 and 11,349.26 is: 17,012.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,832.59 : 35,725.64 = 11,349.26 : x
  2. Step 2: Convert to fraction form
    23,832.59/35,725.64 = 11,349.26/x
  3. Step 3: Cross multiply
    23,832.59x = 35,725.64 × 11,349.26
  4. Step 4: Simplify right side
    23,832.59x = 405,459,341.65
  5. Step 5: Solve for x
    x = 405,459,341.65/23,832.59
  6. Step 6: Final answer
    x = 17,012.81

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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.