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Finding the Fourth Proportional to 27,824.40, 38,399.74 and 17,220.20

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Solution

The fourth proportional to 27,824.40, 38,399.74 and 17,220.20 is: 23,765.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,824.40 : 38,399.74 = 17,220.20 : x
  2. Step 2: Convert to fraction form
    27,824.40/38,399.74 = 17,220.20/x
  3. Step 3: Cross multiply
    27,824.40x = 38,399.74 × 17,220.20
  4. Step 4: Simplify right side
    27,824.40x = 661,251,202.75
  5. Step 5: Solve for x
    x = 661,251,202.75/27,824.40
  6. Step 6: Final answer
    x = 23,765.16

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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.