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Finding the Fourth Proportional to 16,193.68, 24,247.28 and 9,524.61

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Solution

The fourth proportional to 16,193.68, 24,247.28 and 9,524.61 is: 14,261.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,193.68 : 24,247.28 = 9,524.61 : x
  2. Step 2: Convert to fraction form
    16,193.68/24,247.28 = 9,524.61/x
  3. Step 3: Cross multiply
    16,193.68x = 24,247.28 × 9,524.61
  4. Step 4: Simplify right side
    16,193.68x = 230,945,909.37
  5. Step 5: Solve for x
    x = 230,945,909.37/16,193.68
  6. Step 6: Final answer
    x = 14,261.49

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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.