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Finding the Fourth Proportional to 19,489.92, 29,239.20 and 9,096

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Solution

The fourth proportional to 19,489.92, 29,239.20 and 9,096 is: 13,646.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,489.92 : 29,239.20 = 9,096 : x
  2. Step 2: Convert to fraction form
    19,489.92/29,239.20 = 9,096/x
  3. Step 3: Cross multiply
    19,489.92x = 29,239.20 × 9,096
  4. Step 4: Simplify right side
    19,489.92x = 265,959,763.20
  5. Step 5: Solve for x
    x = 265,959,763.20/19,489.92
  6. Step 6: Final answer
    x = 13,646.02

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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.