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Finding the Fourth Proportional to 27,653.76, 41,472 and 12,067.20

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Solution

The fourth proportional to 27,653.76, 41,472 and 12,067.20 is: 18,097.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,653.76 : 41,472 = 12,067.20 : x
  2. Step 2: Convert to fraction form
    27,653.76/41,472 = 12,067.20/x
  3. Step 3: Cross multiply
    27,653.76x = 41,472 × 12,067.20
  4. Step 4: Simplify right side
    27,653.76x = 500,450,918.40
  5. Step 5: Solve for x
    x = 500,450,918.40/27,653.76
  6. Step 6: Final answer
    x = 18,097.03

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Why These Related Problems?

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