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Finding the Fourth Proportional to 20,171.40, 30,224.34 and 12,363.72

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Solution

The fourth proportional to 20,171.40, 30,224.34 and 12,363.72 is: 18,525.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,171.40 : 30,224.34 = 12,363.72 : x
  2. Step 2: Convert to fraction form
    20,171.40/30,224.34 = 12,363.72/x
  3. Step 3: Cross multiply
    20,171.40x = 30,224.34 × 12,363.72
  4. Step 4: Simplify right side
    20,171.40x = 373,685,276.94
  5. Step 5: Solve for x
    x = 373,685,276.94/20,171.40
  6. Step 6: Final answer
    x = 18,525.50

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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.