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Finding the Fourth Proportional to 16,196.94, 24,308.37 and 8,407.98

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Solution

The fourth proportional to 16,196.94, 24,308.37 and 8,407.98 is: 12,618.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,196.94 : 24,308.37 = 8,407.98 : x
  2. Step 2: Convert to fraction form
    16,196.94/24,308.37 = 8,407.98/x
  3. Step 3: Cross multiply
    16,196.94x = 24,308.37 × 8,407.98
  4. Step 4: Simplify right side
    16,196.94x = 204,384,288.79
  5. Step 5: Solve for x
    x = 204,384,288.79/16,196.94
  6. Step 6: Final answer
    x = 12,618.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.