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Finding the Fourth Proportional to 18,705.72, 25,814.45 and 10,208.39

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Solution

The fourth proportional to 18,705.72, 25,814.45 and 10,208.39 is: 14,087.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,705.72 : 25,814.45 = 10,208.39 : x
  2. Step 2: Convert to fraction form
    18,705.72/25,814.45 = 10,208.39/x
  3. Step 3: Cross multiply
    18,705.72x = 25,814.45 × 10,208.39
  4. Step 4: Simplify right side
    18,705.72x = 263,523,986.73
  5. Step 5: Solve for x
    x = 263,523,986.73/18,705.72
  6. Step 6: Final answer
    x = 14,087.88

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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.