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Finding the Fourth Proportional to 16,458.90, 24,672.15 and 8,140.20

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Solution

The fourth proportional to 16,458.90, 24,672.15 and 8,140.20 is: 12,202.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,458.90 : 24,672.15 = 8,140.20 : x
  2. Step 2: Convert to fraction form
    16,458.90/24,672.15 = 8,140.20/x
  3. Step 3: Cross multiply
    16,458.90x = 24,672.15 × 8,140.20
  4. Step 4: Simplify right side
    16,458.90x = 200,836,235.43
  5. Step 5: Solve for x
    x = 200,836,235.43/16,458.90
  6. Step 6: Final answer
    x = 12,202.29

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1.5x scale

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.