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Finding the Fourth Proportional to 16,296.41, 24,429.02 and 5,196.98

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Solution

The fourth proportional to 16,296.41, 24,429.02 and 5,196.98 is: 7,790.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,296.41 : 24,429.02 = 5,196.98 : x
  2. Step 2: Convert to fraction form
    16,296.41/24,429.02 = 5,196.98/x
  3. Step 3: Cross multiply
    16,296.41x = 24,429.02 × 5,196.98
  4. Step 4: Simplify right side
    16,296.41x = 126,957,163.45
  5. Step 5: Solve for x
    x = 126,957,163.45/16,296.41
  6. Step 6: Final answer
    x = 7,790.50

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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.