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Finding the Fourth Proportional to 27,778.38, 38,334.16 and 15,203.13

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Solution

The fourth proportional to 27,778.38, 38,334.16 and 15,203.13 is: 20,980.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,778.38 : 38,334.16 = 15,203.13 : x
  2. Step 2: Convert to fraction form
    27,778.38/38,334.16 = 15,203.13/x
  3. Step 3: Cross multiply
    27,778.38x = 38,334.16 × 15,203.13
  4. Step 4: Simplify right side
    27,778.38x = 582,799,217.92
  5. Step 5: Solve for x
    x = 582,799,217.92/27,778.38
  6. Step 6: Final answer
    x = 20,980.32

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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.