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Finding the Fourth Proportional to 27,776.32, 38,332.44 and 15,201.20

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Solution

The fourth proportional to 27,776.32, 38,332.44 and 15,201.20 is: 20,978.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,776.32 : 38,332.44 = 15,201.20 : x
  2. Step 2: Convert to fraction form
    27,776.32/38,332.44 = 15,201.20/x
  3. Step 3: Cross multiply
    27,776.32x = 38,332.44 × 15,201.20
  4. Step 4: Simplify right side
    27,776.32x = 582,699,086.93
  5. Step 5: Solve for x
    x = 582,699,086.93/27,776.32
  6. Step 6: Final answer
    x = 20,978.27

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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.