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Finding the Fourth Proportional to 20,325.20, 30,439.20 and 16,437.20

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Solution

The fourth proportional to 20,325.20, 30,439.20 and 16,437.20 is: 24,616.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,325.20 : 30,439.20 = 16,437.20 : x
  2. Step 2: Convert to fraction form
    20,325.20/30,439.20 = 16,437.20/x
  3. Step 3: Cross multiply
    20,325.20x = 30,439.20 × 16,437.20
  4. Step 4: Simplify right side
    20,325.20x = 500,335,218.24
  5. Step 5: Solve for x
    x = 500,335,218.24/20,325.20
  6. Step 6: Final answer
    x = 24,616.50

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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.