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Finding the Fourth Proportional to 27,394.64, 41,093.78 and 9,623.13

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Solution

The fourth proportional to 27,394.64, 41,093.78 and 9,623.13 is: 14,435.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,394.64 : 41,093.78 = 9,623.13 : x
  2. Step 2: Convert to fraction form
    27,394.64/41,093.78 = 9,623.13/x
  3. Step 3: Cross multiply
    27,394.64x = 41,093.78 × 9,623.13
  4. Step 4: Simplify right side
    27,394.64x = 395,450,893.12
  5. Step 5: Solve for x
    x = 395,450,893.12/27,394.64
  6. Step 6: Final answer
    x = 14,435.34

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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.