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Finding the Fourth Proportional to 23,457.87, 32,369.83 and 13,896.09

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Solution

The fourth proportional to 23,457.87, 32,369.83 and 13,896.09 is: 19,175.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,457.87 : 32,369.83 = 13,896.09 : x
  2. Step 2: Convert to fraction form
    23,457.87/32,369.83 = 13,896.09/x
  3. Step 3: Cross multiply
    23,457.87x = 32,369.83 × 13,896.09
  4. Step 4: Simplify right side
    23,457.87x = 449,814,036.22
  5. Step 5: Solve for x
    x = 449,814,036.22/23,457.87
  6. Step 6: Final answer
    x = 19,175.40

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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.