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Finding the Fourth Proportional to 19,633.25, 27,094.64 and 11,251.37

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Solution

The fourth proportional to 19,633.25, 27,094.64 and 11,251.37 is: 15,527.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,633.25 : 27,094.64 = 11,251.37 : x
  2. Step 2: Convert to fraction form
    19,633.25/27,094.64 = 11,251.37/x
  3. Step 3: Cross multiply
    19,633.25x = 27,094.64 × 11,251.37
  4. Step 4: Simplify right side
    19,633.25x = 304,851,831.14
  5. Step 5: Solve for x
    x = 304,851,831.14/19,633.25
  6. Step 6: Final answer
    x = 15,527.32

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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.