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Finding the Fourth Proportional to 16,498.46, 24,747.96 and 5,406.32

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Solution

The fourth proportional to 16,498.46, 24,747.96 and 5,406.32 is: 8,109.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,498.46 : 24,747.96 = 5,406.32 : x
  2. Step 2: Convert to fraction form
    16,498.46/24,747.96 = 5,406.32/x
  3. Step 3: Cross multiply
    16,498.46x = 24,747.96 × 5,406.32
  4. Step 4: Simplify right side
    16,498.46x = 133,795,391.11
  5. Step 5: Solve for x
    x = 133,795,391.11/16,498.46
  6. Step 6: Final answer
    x = 8,109.57

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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.