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Finding the Fourth Proportional to 21,903.62, 30,229.37 and 13,411.46

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Solution

The fourth proportional to 21,903.62, 30,229.37 and 13,411.46 is: 18,509.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,903.62 : 30,229.37 = 13,411.46 : x
  2. Step 2: Convert to fraction form
    21,903.62/30,229.37 = 13,411.46/x
  3. Step 3: Cross multiply
    21,903.62x = 30,229.37 × 13,411.46
  4. Step 4: Simplify right side
    21,903.62x = 405,419,768.38
  5. Step 5: Solve for x
    x = 405,419,768.38/21,903.62
  6. Step 6: Final answer
    x = 18,509.26

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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.