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Finding the Fourth Proportional to 17,184.27, 25,776.94 and 8,176.41

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Solution

The fourth proportional to 17,184.27, 25,776.94 and 8,176.41 is: 12,264.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,184.27 : 25,776.94 = 8,176.41 : x
  2. Step 2: Convert to fraction form
    17,184.27/25,776.94 = 8,176.41/x
  3. Step 3: Cross multiply
    17,184.27x = 25,776.94 × 8,176.41
  4. Step 4: Simplify right side
    17,184.27x = 210,762,829.99
  5. Step 5: Solve for x
    x = 210,762,829.99/17,184.27
  6. Step 6: Final answer
    x = 12,264.87

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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.