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Finding the Fourth Proportional to 27,234.74, 40,847.24 and 7,244.34

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Solution

The fourth proportional to 27,234.74, 40,847.24 and 7,244.34 is: 10,865.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,234.74 : 40,847.24 = 7,244.34 : x
  2. Step 2: Convert to fraction form
    27,234.74/40,847.24 = 7,244.34/x
  3. Step 3: Cross multiply
    27,234.74x = 40,847.24 × 7,244.34
  4. Step 4: Simplify right side
    27,234.74x = 295,911,258.40
  5. Step 5: Solve for x
    x = 295,911,258.40/27,234.74
  6. Step 6: Final answer
    x = 10,865.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.