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Finding the Fourth Proportional to 27,644, 41,472.48 and 9,176

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Solution

The fourth proportional to 27,644, 41,472.48 and 9,176 is: 13,766.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,644 : 41,472.48 = 9,176 : x
  2. Step 2: Convert to fraction form
    27,644/41,472.48 = 9,176/x
  3. Step 3: Cross multiply
    27,644x = 41,472.48 × 9,176
  4. Step 4: Simplify right side
    27,644x = 380,551,476.48
  5. Step 5: Solve for x
    x = 380,551,476.48/27,644
  6. Step 6: Final answer
    x = 13,766.15

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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.