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Finding the Fourth Proportional to 22,459.20, 30,976.20 and 14,503.38

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Solution

The fourth proportional to 22,459.20, 30,976.20 and 14,503.38 is: 20,003.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,459.20 : 30,976.20 = 14,503.38 : x
  2. Step 2: Convert to fraction form
    22,459.20/30,976.20 = 14,503.38/x
  3. Step 3: Cross multiply
    22,459.20x = 30,976.20 × 14,503.38
  4. Step 4: Simplify right side
    22,459.20x = 449,259,599.56
  5. Step 5: Solve for x
    x = 449,259,599.56/22,459.20
  6. Step 6: Final answer
    x = 20,003.37

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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.