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Finding the Fourth Proportional to 18,078.92, 27,071.21 and 14,549.64

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Solution

The fourth proportional to 18,078.92, 27,071.21 and 14,549.64 is: 21,786.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,078.92 : 27,071.21 = 14,549.64 : x
  2. Step 2: Convert to fraction form
    18,078.92/27,071.21 = 14,549.64/x
  3. Step 3: Cross multiply
    18,078.92x = 27,071.21 × 14,549.64
  4. Step 4: Simplify right side
    18,078.92x = 393,876,287.12
  5. Step 5: Solve for x
    x = 393,876,287.12/18,078.92
  6. Step 6: Final answer
    x = 21,786.50

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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.