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Finding the Fourth Proportional to 20,173.78, 27,838.74 and 11,221.21

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Solution

The fourth proportional to 20,173.78, 27,838.74 and 11,221.21 is: 15,484.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,173.78 : 27,838.74 = 11,221.21 : x
  2. Step 2: Convert to fraction form
    20,173.78/27,838.74 = 11,221.21/x
  3. Step 3: Cross multiply
    20,173.78x = 27,838.74 × 11,221.21
  4. Step 4: Simplify right side
    20,173.78x = 312,384,347.68
  5. Step 5: Solve for x
    x = 312,384,347.68/20,173.78
  6. Step 6: Final answer
    x = 15,484.67

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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.