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Finding the Fourth Proportional to 27,400.32, 41,096.16 and 8,928

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Solution

The fourth proportional to 27,400.32, 41,096.16 and 8,928 is: 13,390.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,400.32 : 41,096.16 = 8,928 : x
  2. Step 2: Convert to fraction form
    27,400.32/41,096.16 = 8,928/x
  3. Step 3: Cross multiply
    27,400.32x = 41,096.16 × 8,928
  4. Step 4: Simplify right side
    27,400.32x = 366,906,516.48
  5. Step 5: Solve for x
    x = 366,906,516.48/27,400.32
  6. Step 6: Final answer
    x = 13,390.59

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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.