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Finding the Fourth Proportional to 21,921.22, 30,231.42 and 14,364.78

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Solution

The fourth proportional to 21,921.22, 30,231.42 and 14,364.78 is: 19,810.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,921.22 : 30,231.42 = 14,364.78 : x
  2. Step 2: Convert to fraction form
    21,921.22/30,231.42 = 14,364.78/x
  3. Step 3: Cross multiply
    21,921.22x = 30,231.42 × 14,364.78
  4. Step 4: Simplify right side
    21,921.22x = 434,267,697.39
  5. Step 5: Solve for x
    x = 434,267,697.39/21,921.22
  6. Step 6: Final answer
    x = 19,810.38

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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.