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Finding the Fourth Proportional to 16,505.86, 24,761.24 and 5,976.67

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Solution

The fourth proportional to 16,505.86, 24,761.24 and 5,976.67 is: 8,965.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,505.86 : 24,761.24 = 5,976.67 : x
  2. Step 2: Convert to fraction form
    16,505.86/24,761.24 = 5,976.67/x
  3. Step 3: Cross multiply
    16,505.86x = 24,761.24 × 5,976.67
  4. Step 4: Simplify right side
    16,505.86x = 147,989,606.58
  5. Step 5: Solve for x
    x = 147,989,606.58/16,505.86
  6. Step 6: Final answer
    x = 8,965.89

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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.