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Finding the Fourth Proportional to 27,646.32, 41,469.72 and 10,121.16

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Solution

The fourth proportional to 27,646.32, 41,469.72 and 10,121.16 is: 15,181.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,646.32 : 41,469.72 = 10,121.16 : x
  2. Step 2: Convert to fraction form
    27,646.32/41,469.72 = 10,121.16/x
  3. Step 3: Cross multiply
    27,646.32x = 41,469.72 × 10,121.16
  4. Step 4: Simplify right side
    27,646.32x = 419,721,671.28
  5. Step 5: Solve for x
    x = 419,721,671.28/27,646.32
  6. Step 6: Final answer
    x = 15,181.83

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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.