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Finding the Fourth Proportional to 16,272.40, 24,376.20 and 8,485.60

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Solution

The fourth proportional to 16,272.40, 24,376.20 and 8,485.60 is: 12,711.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,272.40 : 24,376.20 = 8,485.60 : x
  2. Step 2: Convert to fraction form
    16,272.40/24,376.20 = 8,485.60/x
  3. Step 3: Cross multiply
    16,272.40x = 24,376.20 × 8,485.60
  4. Step 4: Simplify right side
    16,272.40x = 206,846,682.72
  5. Step 5: Solve for x
    x = 206,846,682.72/16,272.40
  6. Step 6: Final answer
    x = 12,711.50

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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.