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Finding the Fourth Proportional to 16,450.63, 24,636.41 and 9,409.30

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Solution

The fourth proportional to 16,450.63, 24,636.41 and 9,409.30 is: 14,091.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,450.63 : 24,636.41 = 9,409.30 : x
  2. Step 2: Convert to fraction form
    16,450.63/24,636.41 = 9,409.30/x
  3. Step 3: Cross multiply
    16,450.63x = 24,636.41 × 9,409.30
  4. Step 4: Simplify right side
    16,450.63x = 231,811,437.84
  5. Step 5: Solve for x
    x = 231,811,437.84/16,450.63
  6. Step 6: Final answer
    x = 14,091.34

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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.