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Finding the Fourth Proportional to 27,892.66, 38,478.36 and 18,469.12

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Solution

The fourth proportional to 27,892.66, 38,478.36 and 18,469.12 is: 25,478.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,892.66 : 38,478.36 = 18,469.12 : x
  2. Step 2: Convert to fraction form
    27,892.66/38,478.36 = 18,469.12/x
  3. Step 3: Cross multiply
    27,892.66x = 38,478.36 × 18,469.12
  4. Step 4: Simplify right side
    27,892.66x = 710,661,448.24
  5. Step 5: Solve for x
    x = 710,661,448.24/27,892.66
  6. Step 6: Final answer
    x = 25,478.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.