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Finding the Fourth Proportional to 27,776.42, 38,331.48 and 15,201.20

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Solution

The fourth proportional to 27,776.42, 38,331.48 and 15,201.20 is: 20,977.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,776.42 : 38,331.48 = 15,201.20 : x
  2. Step 2: Convert to fraction form
    27,776.42/38,331.48 = 15,201.20/x
  3. Step 3: Cross multiply
    27,776.42x = 38,331.48 × 15,201.20
  4. Step 4: Simplify right side
    27,776.42x = 582,684,493.78
  5. Step 5: Solve for x
    x = 582,684,493.78/27,776.42
  6. Step 6: Final answer
    x = 20,977.67

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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.