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Finding the Fourth Proportional to 16,338.98, 24,516.57 and 6,478.04

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Solution

The fourth proportional to 16,338.98, 24,516.57 and 6,478.04 is: 9,720.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,338.98 : 24,516.57 = 6,478.04 : x
  2. Step 2: Convert to fraction form
    16,338.98/24,516.57 = 6,478.04/x
  3. Step 3: Cross multiply
    16,338.98x = 24,516.57 × 6,478.04
  4. Step 4: Simplify right side
    16,338.98x = 158,819,321.12
  5. Step 5: Solve for x
    x = 158,819,321.12/16,338.98
  6. Step 6: Final answer
    x = 9,720.27

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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.