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Finding the Fourth Proportional to 27,776.28, 38,331.03 and 15,201

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Solution

The fourth proportional to 27,776.28, 38,331.03 and 15,201 is: 20,977.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,776.28 : 38,331.03 = 15,201 : x
  2. Step 2: Convert to fraction form
    27,776.28/38,331.03 = 15,201/x
  3. Step 3: Cross multiply
    27,776.28x = 38,331.03 × 15,201
  4. Step 4: Simplify right side
    27,776.28x = 582,669,987.03
  5. Step 5: Solve for x
    x = 582,669,987.03/27,776.28
  6. Step 6: Final answer
    x = 20,977.25

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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.