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Finding the Fourth Proportional to 27,792.48, 41,694.96 and 9,324

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Solution

The fourth proportional to 27,792.48, 41,694.96 and 9,324 is: 13,988.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,792.48 : 41,694.96 = 9,324 : x
  2. Step 2: Convert to fraction form
    27,792.48/41,694.96 = 9,324/x
  3. Step 3: Cross multiply
    27,792.48x = 41,694.96 × 9,324
  4. Step 4: Simplify right side
    27,792.48x = 388,763,807.04
  5. Step 5: Solve for x
    x = 388,763,807.04/27,792.48
  6. Step 6: Final answer
    x = 13,988.09

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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.