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Finding the Fourth Proportional to 19,502.25, 26,902.17 and 11,952.24

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Solution

The fourth proportional to 19,502.25, 26,902.17 and 11,952.24 is: 16,487.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,502.25 : 26,902.17 = 11,952.24 : x
  2. Step 2: Convert to fraction form
    19,502.25/26,902.17 = 11,952.24/x
  3. Step 3: Cross multiply
    19,502.25x = 26,902.17 × 11,952.24
  4. Step 4: Simplify right side
    19,502.25x = 321,541,192.36
  5. Step 5: Solve for x
    x = 321,541,192.36/19,502.25
  6. Step 6: Final answer
    x = 16,487.39

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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.