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Finding the Fourth Proportional to 19,732, 27,231.24 and 11,349.04

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Solution

The fourth proportional to 19,732, 27,231.24 and 11,349.04 is: 15,662.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,732 : 27,231.24 = 11,349.04 : x
  2. Step 2: Convert to fraction form
    19,732/27,231.24 = 11,349.04/x
  3. Step 3: Cross multiply
    19,732x = 27,231.24 × 11,349.04
  4. Step 4: Simplify right side
    19,732x = 309,048,432.01
  5. Step 5: Solve for x
    x = 309,048,432.01/19,732
  6. Step 6: Final answer
    x = 15,662.30

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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.