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Finding the Fourth Proportional to 18,233.50, 25,162.25 and 9,850

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Solution

The fourth proportional to 18,233.50, 25,162.25 and 9,850 is: 13,593.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,233.50 : 25,162.25 = 9,850 : x
  2. Step 2: Convert to fraction form
    18,233.50/25,162.25 = 9,850/x
  3. Step 3: Cross multiply
    18,233.50x = 25,162.25 × 9,850
  4. Step 4: Simplify right side
    18,233.50x = 247,848,162.50
  5. Step 5: Solve for x
    x = 247,848,162.50/18,233.50
  6. Step 6: Final answer
    x = 13,593.01

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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.