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Finding the Fourth Proportional to 23,191.94, 31,994.25 and 13,757.06

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Solution

The fourth proportional to 23,191.94, 31,994.25 and 13,757.06 is: 18,978.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,191.94 : 31,994.25 = 13,757.06 : x
  2. Step 2: Convert to fraction form
    23,191.94/31,994.25 = 13,757.06/x
  3. Step 3: Cross multiply
    23,191.94x = 31,994.25 × 13,757.06
  4. Step 4: Simplify right side
    23,191.94x = 440,146,816.91
  5. Step 5: Solve for x
    x = 440,146,816.91/23,191.94
  6. Step 6: Final answer
    x = 18,978.44

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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.