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Finding the Fourth Proportional to 18,532.50, 25,574.94 and 10,149

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Solution

The fourth proportional to 18,532.50, 25,574.94 and 10,149 is: 14,005.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,532.50 : 25,574.94 = 10,149 : x
  2. Step 2: Convert to fraction form
    18,532.50/25,574.94 = 10,149/x
  3. Step 3: Cross multiply
    18,532.50x = 25,574.94 × 10,149
  4. Step 4: Simplify right side
    18,532.50x = 259,560,066.06
  5. Step 5: Solve for x
    x = 259,560,066.06/18,532.50
  6. Step 6: Final answer
    x = 14,005.67

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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.