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Finding the Fourth Proportional to 17,858.94, 24,664.59 and 13,927.02

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Solution

The fourth proportional to 17,858.94, 24,664.59 and 13,927.02 is: 19,234.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,858.94 : 24,664.59 = 13,927.02 : x
  2. Step 2: Convert to fraction form
    17,858.94/24,664.59 = 13,927.02/x
  3. Step 3: Cross multiply
    17,858.94x = 24,664.59 × 13,927.02
  4. Step 4: Simplify right side
    17,858.94x = 343,504,238.22
  5. Step 5: Solve for x
    x = 343,504,238.22/17,858.94
  6. Step 6: Final answer
    x = 19,234.30

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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.