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Finding the Fourth Proportional to 18,350.50, 25,323.69 and 9,967

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Solution

The fourth proportional to 18,350.50, 25,323.69 and 9,967 is: 13,754.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,350.50 : 25,323.69 = 9,967 : x
  2. Step 2: Convert to fraction form
    18,350.50/25,323.69 = 9,967/x
  3. Step 3: Cross multiply
    18,350.50x = 25,323.69 × 9,967
  4. Step 4: Simplify right side
    18,350.50x = 252,401,218.23
  5. Step 5: Solve for x
    x = 252,401,218.23/18,350.50
  6. Step 6: Final answer
    x = 13,754.46

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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.