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Finding the Fourth Proportional to 16,172.52, 24,256 and 4,485.76

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Solution

The fourth proportional to 16,172.52, 24,256 and 4,485.76 is: 6,727.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,172.52 : 24,256 = 4,485.76 : x
  2. Step 2: Convert to fraction form
    16,172.52/24,256 = 4,485.76/x
  3. Step 3: Cross multiply
    16,172.52x = 24,256 × 4,485.76
  4. Step 4: Simplify right side
    16,172.52x = 108,806,594.56
  5. Step 5: Solve for x
    x = 108,806,594.56/16,172.52
  6. Step 6: Final answer
    x = 6,727.87

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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.