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Finding the Fourth Proportional to 16,416.45, 24,632.36 and 8,091.92

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Solution

The fourth proportional to 16,416.45, 24,632.36 and 8,091.92 is: 12,141.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,416.45 : 24,632.36 = 8,091.92 : x
  2. Step 2: Convert to fraction form
    16,416.45/24,632.36 = 8,091.92/x
  3. Step 3: Cross multiply
    16,416.45x = 24,632.36 × 8,091.92
  4. Step 4: Simplify right side
    16,416.45x = 199,323,086.53
  5. Step 5: Solve for x
    x = 199,323,086.53/16,416.45
  6. Step 6: Final answer
    x = 12,141.67

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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.