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Finding the Fourth Proportional to 18,380.50, 25,365.12 and 9,997

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Solution

The fourth proportional to 18,380.50, 25,365.12 and 9,997 is: 13,795.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,380.50 : 25,365.12 = 9,997 : x
  2. Step 2: Convert to fraction form
    18,380.50/25,365.12 = 9,997/x
  3. Step 3: Cross multiply
    18,380.50x = 25,365.12 × 9,997
  4. Step 4: Simplify right side
    18,380.50x = 253,575,104.64
  5. Step 5: Solve for x
    x = 253,575,104.64/18,380.50
  6. Step 6: Final answer
    x = 13,795.88

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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.