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Finding the Fourth Proportional to 27,741.36, 38,258.12 and 18,319.44

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Solution

The fourth proportional to 27,741.36, 38,258.12 and 18,319.44 is: 25,264.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,741.36 : 38,258.12 = 18,319.44 : x
  2. Step 2: Convert to fraction form
    27,741.36/38,258.12 = 18,319.44/x
  3. Step 3: Cross multiply
    27,741.36x = 38,258.12 × 18,319.44
  4. Step 4: Simplify right side
    27,741.36x = 700,867,333.85
  5. Step 5: Solve for x
    x = 700,867,333.85/27,741.36
  6. Step 6: Final answer
    x = 25,264.35

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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.