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Finding the Fourth Proportional to 27,778.40, 38,333.88 and 15,203

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Solution

The fourth proportional to 27,778.40, 38,333.88 and 15,203 is: 20,979.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,778.40 : 38,333.88 = 15,203 : x
  2. Step 2: Convert to fraction form
    27,778.40/38,333.88 = 15,203/x
  3. Step 3: Cross multiply
    27,778.40x = 38,333.88 × 15,203
  4. Step 4: Simplify right side
    27,778.40x = 582,789,977.64
  5. Step 5: Solve for x
    x = 582,789,977.64/27,778.40
  6. Step 6: Final answer
    x = 20,979.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.