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Finding the Fourth Proportional to 16,229.20, 24,351.90 and 9,214.60

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Solution

The fourth proportional to 16,229.20, 24,351.90 and 9,214.60 is: 13,826.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,229.20 : 24,351.90 = 9,214.60 : x
  2. Step 2: Convert to fraction form
    16,229.20/24,351.90 = 9,214.60/x
  3. Step 3: Cross multiply
    16,229.20x = 24,351.90 × 9,214.60
  4. Step 4: Simplify right side
    16,229.20x = 224,393,017.74
  5. Step 5: Solve for x
    x = 224,393,017.74/16,229.20
  6. Step 6: Final answer
    x = 13,826.50

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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.