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Finding the Fourth Proportional to 16,367.14, 24,550.76 and 6,506.36

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Solution

The fourth proportional to 16,367.14, 24,550.76 and 6,506.36 is: 9,759.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,367.14 : 24,550.76 = 6,506.36 : x
  2. Step 2: Convert to fraction form
    16,367.14/24,550.76 = 6,506.36/x
  3. Step 3: Cross multiply
    16,367.14x = 24,550.76 × 6,506.36
  4. Step 4: Simplify right side
    16,367.14x = 159,736,082.83
  5. Step 5: Solve for x
    x = 159,736,082.83/16,367.14
  6. Step 6: Final answer
    x = 9,759.56

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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.