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Finding the Fourth Proportional to 18,358.50, 25,334.93 and 9,975

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Solution

The fourth proportional to 18,358.50, 25,334.93 and 9,975 is: 13,765.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,358.50 : 25,334.93 = 9,975 : x
  2. Step 2: Convert to fraction form
    18,358.50/25,334.93 = 9,975/x
  3. Step 3: Cross multiply
    18,358.50x = 25,334.93 × 9,975
  4. Step 4: Simplify right side
    18,358.50x = 252,715,951.69
  5. Step 5: Solve for x
    x = 252,715,951.69/18,358.50
  6. Step 6: Final answer
    x = 13,765.61

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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.