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Finding the Fourth Proportional to 16,124.56, 24,172.24 and 5,733.88

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Solution

The fourth proportional to 16,124.56, 24,172.24 and 5,733.88 is: 8,595.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,124.56 : 24,172.24 = 5,733.88 : x
  2. Step 2: Convert to fraction form
    16,124.56/24,172.24 = 5,733.88/x
  3. Step 3: Cross multiply
    16,124.56x = 24,172.24 × 5,733.88
  4. Step 4: Simplify right side
    16,124.56x = 138,600,723.49
  5. Step 5: Solve for x
    x = 138,600,723.49/16,124.56
  6. Step 6: Final answer
    x = 8,595.63

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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.