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Finding the Fourth Proportional to 18,383.81, 27,573.10 and 5,902.22

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Solution

The fourth proportional to 18,383.81, 27,573.10 and 5,902.22 is: 8,852.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,383.81 : 27,573.10 = 5,902.22 : x
  2. Step 2: Convert to fraction form
    18,383.81/27,573.10 = 5,902.22/x
  3. Step 3: Cross multiply
    18,383.81x = 27,573.10 × 5,902.22
  4. Step 4: Simplify right side
    18,383.81x = 162,742,502.28
  5. Step 5: Solve for x
    x = 162,742,502.28/18,383.81
  6. Step 6: Final answer
    x = 8,852.49

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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.