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Finding the Fourth Proportional to 16,525.43, 24,782.90 and 5,429.57

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Solution

The fourth proportional to 16,525.43, 24,782.90 and 5,429.57 is: 8,142.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,525.43 : 24,782.90 = 5,429.57 : x
  2. Step 2: Convert to fraction form
    16,525.43/24,782.90 = 5,429.57/x
  3. Step 3: Cross multiply
    16,525.43x = 24,782.90 × 5,429.57
  4. Step 4: Simplify right side
    16,525.43x = 134,560,339.29
  5. Step 5: Solve for x
    x = 134,560,339.29/16,525.43
  6. Step 6: Final answer
    x = 8,142.62

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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.