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Finding the Fourth Proportional to 18,632.50, 25,712.85 and 10,249

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Solution

The fourth proportional to 18,632.50, 25,712.85 and 10,249 is: 14,143.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,632.50 : 25,712.85 = 10,249 : x
  2. Step 2: Convert to fraction form
    18,632.50/25,712.85 = 10,249/x
  3. Step 3: Cross multiply
    18,632.50x = 25,712.85 × 10,249
  4. Step 4: Simplify right side
    18,632.50x = 263,530,999.65
  5. Step 5: Solve for x
    x = 263,530,999.65/18,632.50
  6. Step 6: Final answer
    x = 14,143.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.