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Finding the Fourth Proportional to 27,684, 41,500.44 and 11,040

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Solution

The fourth proportional to 27,684, 41,500.44 and 11,040 is: 16,549.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,684 : 41,500.44 = 11,040 : x
  2. Step 2: Convert to fraction form
    27,684/41,500.44 = 11,040/x
  3. Step 3: Cross multiply
    27,684x = 41,500.44 × 11,040
  4. Step 4: Simplify right side
    27,684x = 458,164,857.60
  5. Step 5: Solve for x
    x = 458,164,857.60/27,684
  6. Step 6: Final answer
    x = 16,549.81

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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.