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Finding the Fourth Proportional to 19,901.69, 27,468.26 and 11,409.51

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Solution

The fourth proportional to 19,901.69, 27,468.26 and 11,409.51 is: 15,747.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,901.69 : 27,468.26 = 11,409.51 : x
  2. Step 2: Convert to fraction form
    19,901.69/27,468.26 = 11,409.51/x
  3. Step 3: Cross multiply
    19,901.69x = 27,468.26 × 11,409.51
  4. Step 4: Simplify right side
    19,901.69x = 313,399,387.15
  5. Step 5: Solve for x
    x = 313,399,387.15/19,901.69
  6. Step 6: Final answer
    x = 15,747.38

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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.