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Finding the Fourth Proportional to 26,784, 36,960.90 and 14,847.54

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Solution

The fourth proportional to 26,784, 36,960.90 and 14,847.54 is: 20,489.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,784 : 36,960.90 = 14,847.54 : x
  2. Step 2: Convert to fraction form
    26,784/36,960.90 = 14,847.54/x
  3. Step 3: Cross multiply
    26,784x = 36,960.90 × 14,847.54
  4. Step 4: Simplify right side
    26,784x = 548,778,441.19
  5. Step 5: Solve for x
    x = 548,778,441.19/26,784
  6. Step 6: Final answer
    x = 20,489.04

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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.