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Finding the Fourth Proportional to 20,174.50, 27,840.81 and 11,342.50

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Solution

The fourth proportional to 20,174.50, 27,840.81 and 11,342.50 is: 15,652.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,174.50 : 27,840.81 = 11,342.50 : x
  2. Step 2: Convert to fraction form
    20,174.50/27,840.81 = 11,342.50/x
  3. Step 3: Cross multiply
    20,174.50x = 27,840.81 × 11,342.50
  4. Step 4: Simplify right side
    20,174.50x = 315,784,387.43
  5. Step 5: Solve for x
    x = 315,784,387.43/20,174.50
  6. Step 6: Final answer
    x = 15,652.65

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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.