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Finding the Fourth Proportional to 16,206.26, 24,354.99 and 9,633.62

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Solution

The fourth proportional to 16,206.26, 24,354.99 and 9,633.62 is: 14,477.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,206.26 : 24,354.99 = 9,633.62 : x
  2. Step 2: Convert to fraction form
    16,206.26/24,354.99 = 9,633.62/x
  3. Step 3: Cross multiply
    16,206.26x = 24,354.99 × 9,633.62
  4. Step 4: Simplify right side
    16,206.26x = 234,626,718.76
  5. Step 5: Solve for x
    x = 234,626,718.76/16,206.26
  6. Step 6: Final answer
    x = 14,477.54

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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.