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Finding the Fourth Proportional to 19,828.92, 27,365.34 and 11,330.84

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Solution

The fourth proportional to 19,828.92, 27,365.34 and 11,330.84 is: 15,637.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,828.92 : 27,365.34 = 11,330.84 : x
  2. Step 2: Convert to fraction form
    19,828.92/27,365.34 = 11,330.84/x
  3. Step 3: Cross multiply
    19,828.92x = 27,365.34 × 11,330.84
  4. Step 4: Simplify right side
    19,828.92x = 310,072,289.09
  5. Step 5: Solve for x
    x = 310,072,289.09/19,828.92
  6. Step 6: Final answer
    x = 15,637.38

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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.