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Finding the Fourth Proportional to 20,263.20, 30,335.40 and 14,431.20

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Solution

The fourth proportional to 20,263.20, 30,335.40 and 14,431.20 is: 21,604.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,263.20 : 30,335.40 = 14,431.20 : x
  2. Step 2: Convert to fraction form
    20,263.20/30,335.40 = 14,431.20/x
  3. Step 3: Cross multiply
    20,263.20x = 30,335.40 × 14,431.20
  4. Step 4: Simplify right side
    20,263.20x = 437,776,224.48
  5. Step 5: Solve for x
    x = 437,776,224.48/20,263.20
  6. Step 6: Final answer
    x = 21,604.50

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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.