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Finding the Fourth Proportional to 24,448, 33,727.80 and 18,772.96

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Solution

The fourth proportional to 24,448, 33,727.80 and 18,772.96 is: 25,898.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,448 : 33,727.80 = 18,772.96 : x
  2. Step 2: Convert to fraction form
    24,448/33,727.80 = 18,772.96/x
  3. Step 3: Cross multiply
    24,448x = 33,727.80 × 18,772.96
  4. Step 4: Simplify right side
    24,448x = 633,170,640.29
  5. Step 5: Solve for x
    x = 633,170,640.29/24,448
  6. Step 6: Final answer
    x = 25,898.67

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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.