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Finding the Fourth Proportional to 19,916, 27,484.08 and 11,084

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Solution

The fourth proportional to 19,916, 27,484.08 and 11,084 is: 15,295.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,916 : 27,484.08 = 11,084 : x
  2. Step 2: Convert to fraction form
    19,916/27,484.08 = 11,084/x
  3. Step 3: Cross multiply
    19,916x = 27,484.08 × 11,084
  4. Step 4: Simplify right side
    19,916x = 304,633,542.72
  5. Step 5: Solve for x
    x = 304,633,542.72/19,916
  6. Step 6: Final answer
    x = 15,295.92

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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.