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Finding the Fourth Proportional to 16,217.08, 24,281.76 and 8,409.48

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Solution

The fourth proportional to 16,217.08, 24,281.76 and 8,409.48 is: 12,591.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,217.08 : 24,281.76 = 8,409.48 : x
  2. Step 2: Convert to fraction form
    16,217.08/24,281.76 = 8,409.48/x
  3. Step 3: Cross multiply
    16,217.08x = 24,281.76 × 8,409.48
  4. Step 4: Simplify right side
    16,217.08x = 204,196,975.08
  5. Step 5: Solve for x
    x = 204,196,975.08/16,217.08
  6. Step 6: Final answer
    x = 12,591.48

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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.